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Finding the Third Proportional to 113,412 and 247,235

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Solution

The third proportional to 113,412 and 247,235 is: 538,965.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,412 : 247,235 = 247,235 : x
  2. Step 2: Convert to fraction form
    113,412/247,235 = 247,235/x
  3. Step 3: Cross multiply
    113,412x = 247,235 × 247,235
  4. Step 4: Simplify right side
    113,412x = 61,125,145,225
  5. Step 5: Solve for x
    x = 61,125,145,225/113,412
  6. Step 6: Final answer
    x = 538,965.41

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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.