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Finding the Third Proportional to 156,946 and 239,523

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Solution

The third proportional to 156,946 and 239,523 is: 365,547.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,946 : 239,523 = 239,523 : x
  2. Step 2: Convert to fraction form
    156,946/239,523 = 239,523/x
  3. Step 3: Cross multiply
    156,946x = 239,523 × 239,523
  4. Step 4: Simplify right side
    156,946x = 57,371,267,529
  5. Step 5: Solve for x
    x = 57,371,267,529/156,946
  6. Step 6: Final answer
    x = 365,547.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.