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Finding the Third Proportional to 141,400 and 304,940

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Solution

The third proportional to 141,400 and 304,940 is: 657,626.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,400 : 304,940 = 304,940 : x
  2. Step 2: Convert to fraction form
    141,400/304,940 = 304,940/x
  3. Step 3: Cross multiply
    141,400x = 304,940 × 304,940
  4. Step 4: Simplify right side
    141,400x = 92,988,403,600
  5. Step 5: Solve for x
    x = 92,988,403,600/141,400
  6. Step 6: Final answer
    x = 657,626.62

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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.