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Finding the Third Proportional to 175,970 and 250,725

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Solution

The third proportional to 175,970 and 250,725 is: 357,237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,970 : 250,725 = 250,725 : x
  2. Step 2: Convert to fraction form
    175,970/250,725 = 250,725/x
  3. Step 3: Cross multiply
    175,970x = 250,725 × 250,725
  4. Step 4: Simplify right side
    175,970x = 62,863,025,625
  5. Step 5: Solve for x
    x = 62,863,025,625/175,970
  6. Step 6: Final answer
    x = 357,237.17

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.