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Finding the Third Proportional to 113,754 and 244,950

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Solution

The third proportional to 113,754 and 244,950 is: 527,458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,754 : 244,950 = 244,950 : x
  2. Step 2: Convert to fraction form
    113,754/244,950 = 244,950/x
  3. Step 3: Cross multiply
    113,754x = 244,950 × 244,950
  4. Step 4: Simplify right side
    113,754x = 60,000,502,500
  5. Step 5: Solve for x
    x = 60,000,502,500/113,754
  6. Step 6: Final answer
    x = 527,458.40

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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.