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Finding the Third Proportional to 159,042 and 337,020

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Solution

The third proportional to 159,042 and 337,020 is: 714,166.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,042 : 337,020 = 337,020 : x
  2. Step 2: Convert to fraction form
    159,042/337,020 = 337,020/x
  3. Step 3: Cross multiply
    159,042x = 337,020 × 337,020
  4. Step 4: Simplify right side
    159,042x = 113,582,480,400
  5. Step 5: Solve for x
    x = 113,582,480,400/159,042
  6. Step 6: Final answer
    x = 714,166.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.