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Finding the Third Proportional to 141,642 and 309,042

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Solution

The third proportional to 141,642 and 309,042 is: 674,284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,642 : 309,042 = 309,042 : x
  2. Step 2: Convert to fraction form
    141,642/309,042 = 309,042/x
  3. Step 3: Cross multiply
    141,642x = 309,042 × 309,042
  4. Step 4: Simplify right side
    141,642x = 95,506,957,764
  5. Step 5: Solve for x
    x = 95,506,957,764/141,642
  6. Step 6: Final answer
    x = 674,284.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.