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Finding the Third Proportional to 169,402 and 247,744

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Solution

The third proportional to 169,402 and 247,744 is: 362,316.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,402 : 247,744 = 247,744 : x
  2. Step 2: Convert to fraction form
    169,402/247,744 = 247,744/x
  3. Step 3: Cross multiply
    169,402x = 247,744 × 247,744
  4. Step 4: Simplify right side
    169,402x = 61,377,089,536
  5. Step 5: Solve for x
    x = 61,377,089,536/169,402
  6. Step 6: Final answer
    x = 362,316.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.