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Finding the Third Proportional to 239,272 and 371,550

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Solution

The third proportional to 239,272 and 371,550 is: 576,955.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,272 : 371,550 = 371,550 : x
  2. Step 2: Convert to fraction form
    239,272/371,550 = 371,550/x
  3. Step 3: Cross multiply
    239,272x = 371,550 × 371,550
  4. Step 4: Simplify right side
    239,272x = 138,049,402,500
  5. Step 5: Solve for x
    x = 138,049,402,500/239,272
  6. Step 6: Final answer
    x = 576,955.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.