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Finding the Third Proportional to 147,825.75 and 227,530.13

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Solution

The third proportional to 147,825.75 and 227,530.13 is: 350,209.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,825.75 : 227,530.13 = 227,530.13 : x
  2. Step 2: Convert to fraction form
    147,825.75/227,530.13 = 227,530.13/x
  3. Step 3: Cross multiply
    147,825.75x = 227,530.13 × 227,530.13
  4. Step 4: Simplify right side
    147,825.75x = 51,769,957,782.52
  5. Step 5: Solve for x
    x = 51,769,957,782.52/147,825.75
  6. Step 6: Final answer
    x = 350,209.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.