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Finding the Third Proportional to 113,166 and 235,630.13

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Solution

The third proportional to 113,166 and 235,630.13 is: 490,620.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,166 : 235,630.13 = 235,630.13 : x
  2. Step 2: Convert to fraction form
    113,166/235,630.13 = 235,630.13/x
  3. Step 3: Cross multiply
    113,166x = 235,630.13 × 235,630.13
  4. Step 4: Simplify right side
    113,166x = 55,521,555,807.52
  5. Step 5: Solve for x
    x = 55,521,555,807.52/113,166
  6. Step 6: Final answer
    x = 490,620.47

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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.