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Finding the Third Proportional to 175,348 and 372,566

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Solution

The third proportional to 175,348 and 372,566 is: 791,599.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,348 : 372,566 = 372,566 : x
  2. Step 2: Convert to fraction form
    175,348/372,566 = 372,566/x
  3. Step 3: Cross multiply
    175,348x = 372,566 × 372,566
  4. Step 4: Simplify right side
    175,348x = 138,805,424,356
  5. Step 5: Solve for x
    x = 138,805,424,356/175,348
  6. Step 6: Final answer
    x = 791,599.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.