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Finding the Third Proportional to 141,396 and 207,342

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Solution

The third proportional to 141,396 and 207,342 is: 304,044.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,396 : 207,342 = 207,342 : x
  2. Step 2: Convert to fraction form
    141,396/207,342 = 207,342/x
  3. Step 3: Cross multiply
    141,396x = 207,342 × 207,342
  4. Step 4: Simplify right side
    141,396x = 42,990,704,964
  5. Step 5: Solve for x
    x = 42,990,704,964/141,396
  6. Step 6: Final answer
    x = 304,044.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.