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Finding the Third Proportional to 113,414 and 244,160

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Solution

The third proportional to 113,414 and 244,160 is: 525,632.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,414 : 244,160 = 244,160 : x
  2. Step 2: Convert to fraction form
    113,414/244,160 = 244,160/x
  3. Step 3: Cross multiply
    113,414x = 244,160 × 244,160
  4. Step 4: Simplify right side
    113,414x = 59,614,105,600
  5. Step 5: Solve for x
    x = 59,614,105,600/113,414
  6. Step 6: Final answer
    x = 525,632.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.