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Finding the Third Proportional to 201,534.75 and 304,570.13

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Solution

The third proportional to 201,534.75 and 304,570.13 is: 460,282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,534.75 : 304,570.13 = 304,570.13 : x
  2. Step 2: Convert to fraction form
    201,534.75/304,570.13 = 304,570.13/x
  3. Step 3: Cross multiply
    201,534.75x = 304,570.13 × 304,570.13
  4. Step 4: Simplify right side
    201,534.75x = 92,762,961,042.52
  5. Step 5: Solve for x
    x = 92,762,961,042.52/201,534.75
  6. Step 6: Final answer
    x = 460,282.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.