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Finding the Third Proportional to 147,142.13 and 227,791.13

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Solution

The third proportional to 147,142.13 and 227,791.13 is: 352,644.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,142.13 : 227,791.13 = 227,791.13 : x
  2. Step 2: Convert to fraction form
    147,142.13/227,791.13 = 227,791.13/x
  3. Step 3: Cross multiply
    147,142.13x = 227,791.13 × 227,791.13
  4. Step 4: Simplify right side
    147,142.13x = 51,888,796,628.77
  5. Step 5: Solve for x
    x = 51,888,796,628.77/147,142.13
  6. Step 6: Final answer
    x = 352,644.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.