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Finding the Third Proportional to 178,853 and 250,680

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Solution

The third proportional to 178,853 and 250,680 is: 351,352.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,853 : 250,680 = 250,680 : x
  2. Step 2: Convert to fraction form
    178,853/250,680 = 250,680/x
  3. Step 3: Cross multiply
    178,853x = 250,680 × 250,680
  4. Step 4: Simplify right side
    178,853x = 62,840,462,400
  5. Step 5: Solve for x
    x = 62,840,462,400/178,853
  6. Step 6: Final answer
    x = 351,352.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.