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Finding the Third Proportional to 156,853 and 339,540

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Solution

The third proportional to 156,853 and 339,540 is: 735,002.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,853 : 339,540 = 339,540 : x
  2. Step 2: Convert to fraction form
    156,853/339,540 = 339,540/x
  3. Step 3: Cross multiply
    156,853x = 339,540 × 339,540
  4. Step 4: Simplify right side
    156,853x = 115,287,411,600
  5. Step 5: Solve for x
    x = 115,287,411,600/156,853
  6. Step 6: Final answer
    x = 735,002.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.