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Finding the Third Proportional to 141,004.13 and 304,480.69

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Solution

The third proportional to 141,004.13 and 304,480.69 is: 657,487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,004.13 : 304,480.69 = 304,480.69 : x
  2. Step 2: Convert to fraction form
    141,004.13/304,480.69 = 304,480.69/x
  3. Step 3: Cross multiply
    141,004.13x = 304,480.69 × 304,480.69
  4. Step 4: Simplify right side
    141,004.13x = 92,708,489,060.47
  5. Step 5: Solve for x
    x = 92,708,489,060.47/141,004.13
  6. Step 6: Final answer
    x = 657,487.78

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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.