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Finding the Third Proportional to 178,887 and 250,707

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Solution

The third proportional to 178,887 and 250,707 is: 351,361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,887 : 250,707 = 250,707 : x
  2. Step 2: Convert to fraction form
    178,887/250,707 = 250,707/x
  3. Step 3: Cross multiply
    178,887x = 250,707 × 250,707
  4. Step 4: Simplify right side
    178,887x = 62,853,999,849
  5. Step 5: Solve for x
    x = 62,853,999,849/178,887
  6. Step 6: Final answer
    x = 351,361.47

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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.