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Finding the Third Proportional to 178,988 and 250,850

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Solution

The third proportional to 178,988 and 250,850 is: 351,563.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,988 : 250,850 = 250,850 : x
  2. Step 2: Convert to fraction form
    178,988/250,850 = 250,850/x
  3. Step 3: Cross multiply
    178,988x = 250,850 × 250,850
  4. Step 4: Simplify right side
    178,988x = 62,925,722,500
  5. Step 5: Solve for x
    x = 62,925,722,500/178,988
  6. Step 6: Final answer
    x = 351,563.92

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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.