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Finding the Third Proportional to 239,288 and 371,580

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Solution

The third proportional to 239,288 and 371,580 is: 577,010.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,288 : 371,580 = 371,580 : x
  2. Step 2: Convert to fraction form
    239,288/371,580 = 371,580/x
  3. Step 3: Cross multiply
    239,288x = 371,580 × 371,580
  4. Step 4: Simplify right side
    239,288x = 138,071,696,400
  5. Step 5: Solve for x
    x = 138,071,696,400/239,288
  6. Step 6: Final answer
    x = 577,010.53

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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.