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Finding the Third Proportional to 141,064.88 and 304,273.13

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Solution

The third proportional to 141,064.88 and 304,273.13 is: 656,308.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,064.88 : 304,273.13 = 304,273.13 : x
  2. Step 2: Convert to fraction form
    141,064.88/304,273.13 = 304,273.13/x
  3. Step 3: Cross multiply
    141,064.88x = 304,273.13 × 304,273.13
  4. Step 4: Simplify right side
    141,064.88x = 92,582,134,597.27
  5. Step 5: Solve for x
    x = 92,582,134,597.27/141,064.88
  6. Step 6: Final answer
    x = 656,308.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.