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Finding the Third Proportional to 269,206 and 392,124

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Solution

The third proportional to 269,206 and 392,124 is: 571,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,206 : 392,124 = 392,124 : x
  2. Step 2: Convert to fraction form
    269,206/392,124 = 392,124/x
  3. Step 3: Cross multiply
    269,206x = 392,124 × 392,124
  4. Step 4: Simplify right side
    269,206x = 153,761,231,376
  5. Step 5: Solve for x
    x = 153,761,231,376/269,206
  6. Step 6: Final answer
    x = 571,165.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.