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Finding the Third Proportional to 178,742 and 250,008

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Solution

The third proportional to 178,742 and 250,008 is: 349,688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,742 : 250,008 = 250,008 : x
  2. Step 2: Convert to fraction form
    178,742/250,008 = 250,008/x
  3. Step 3: Cross multiply
    178,742x = 250,008 × 250,008
  4. Step 4: Simplify right side
    178,742x = 62,504,000,064
  5. Step 5: Solve for x
    x = 62,504,000,064/178,742
  6. Step 6: Final answer
    x = 349,688.38

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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.