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Finding the Third Proportional to 127,348.50 and 273,489

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Solution

The third proportional to 127,348.50 and 273,489 is: 587,335.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,348.50 : 273,489 = 273,489 : x
  2. Step 2: Convert to fraction form
    127,348.50/273,489 = 273,489/x
  3. Step 3: Cross multiply
    127,348.50x = 273,489 × 273,489
  4. Step 4: Simplify right side
    127,348.50x = 74,796,233,121
  5. Step 5: Solve for x
    x = 74,796,233,121/127,348.50
  6. Step 6: Final answer
    x = 587,335.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.