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Finding the Third Proportional to 113,151 and 235,599

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Solution

The third proportional to 113,151 and 235,599 is: 490,555.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,151 : 235,599 = 235,599 : x
  2. Step 2: Convert to fraction form
    113,151/235,599 = 235,599/x
  3. Step 3: Cross multiply
    113,151x = 235,599 × 235,599
  4. Step 4: Simplify right side
    113,151x = 55,506,888,801
  5. Step 5: Solve for x
    x = 55,506,888,801/113,151
  6. Step 6: Final answer
    x = 490,555.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.