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Finding the Third Proportional to 261,252 and 392,230

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Solution

The third proportional to 261,252 and 392,230 is: 588,873.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,252 : 392,230 = 392,230 : x
  2. Step 2: Convert to fraction form
    261,252/392,230 = 392,230/x
  3. Step 3: Cross multiply
    261,252x = 392,230 × 392,230
  4. Step 4: Simplify right side
    261,252x = 153,844,372,900
  5. Step 5: Solve for x
    x = 153,844,372,900/261,252
  6. Step 6: Final answer
    x = 588,873.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.