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Finding the Third Proportional to 159,446 and 346,918

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Solution

The third proportional to 159,446 and 346,918 is: 754,814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,446 : 346,918 = 346,918 : x
  2. Step 2: Convert to fraction form
    159,446/346,918 = 346,918/x
  3. Step 3: Cross multiply
    159,446x = 346,918 × 346,918
  4. Step 4: Simplify right side
    159,446x = 120,352,098,724
  5. Step 5: Solve for x
    x = 120,352,098,724/159,446
  6. Step 6: Final answer
    x = 754,814.16

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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.