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Finding the Third Proportional to 113,672 and 247,301

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Solution

The third proportional to 113,672 and 247,301 is: 538,019.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,672 : 247,301 = 247,301 : x
  2. Step 2: Convert to fraction form
    113,672/247,301 = 247,301/x
  3. Step 3: Cross multiply
    113,672x = 247,301 × 247,301
  4. Step 4: Simplify right side
    113,672x = 61,157,784,601
  5. Step 5: Solve for x
    x = 61,157,784,601/113,672
  6. Step 6: Final answer
    x = 538,019.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.