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Finding the Third Proportional to 141,396 and 304,464

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Solution

The third proportional to 141,396 and 304,464 is: 655,593.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,396 : 304,464 = 304,464 : x
  2. Step 2: Convert to fraction form
    141,396/304,464 = 304,464/x
  3. Step 3: Cross multiply
    141,396x = 304,464 × 304,464
  4. Step 4: Simplify right side
    141,396x = 92,698,327,296
  5. Step 5: Solve for x
    x = 92,698,327,296/141,396
  6. Step 6: Final answer
    x = 655,593.70

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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.