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Finding the Third Proportional to 141,870 and 308,940

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Solution

The third proportional to 141,870 and 308,940 is: 672,756.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,870 : 308,940 = 308,940 : x
  2. Step 2: Convert to fraction form
    141,870/308,940 = 308,940/x
  3. Step 3: Cross multiply
    141,870x = 308,940 × 308,940
  4. Step 4: Simplify right side
    141,870x = 95,443,923,600
  5. Step 5: Solve for x
    x = 95,443,923,600/141,870
  6. Step 6: Final answer
    x = 672,756.21

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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.