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Finding the Third Proportional to 137,655 and 304,789.13

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Solution

The third proportional to 137,655 and 304,789.13 is: 674,849.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,655 : 304,789.13 = 304,789.13 : x
  2. Step 2: Convert to fraction form
    137,655/304,789.13 = 304,789.13/x
  3. Step 3: Cross multiply
    137,655x = 304,789.13 × 304,789.13
  4. Step 4: Simplify right side
    137,655x = 92,896,410,718.27
  5. Step 5: Solve for x
    x = 92,896,410,718.27/137,655
  6. Step 6: Final answer
    x = 674,849.52

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.