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Finding the Third Proportional to 113,405 and 247,532

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Solution

The third proportional to 113,405 and 247,532 is: 540,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,405 : 247,532 = 247,532 : x
  2. Step 2: Convert to fraction form
    113,405/247,532 = 247,532/x
  3. Step 3: Cross multiply
    113,405x = 247,532 × 247,532
  4. Step 4: Simplify right side
    113,405x = 61,272,091,024
  5. Step 5: Solve for x
    x = 61,272,091,024/113,405
  6. Step 6: Final answer
    x = 540,294.44

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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.