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Finding the Third Proportional to 134,287.50 and 292,551

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Solution

The third proportional to 134,287.50 and 292,551 is: 637,334.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,287.50 : 292,551 = 292,551 : x
  2. Step 2: Convert to fraction form
    134,287.50/292,551 = 292,551/x
  3. Step 3: Cross multiply
    134,287.50x = 292,551 × 292,551
  4. Step 4: Simplify right side
    134,287.50x = 85,586,087,601
  5. Step 5: Solve for x
    x = 85,586,087,601/134,287.50
  6. Step 6: Final answer
    x = 637,334.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.