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Finding the Third Proportional to 113,586 and 247,800

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Solution

The third proportional to 113,586 and 247,800 is: 540,602.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,586 : 247,800 = 247,800 : x
  2. Step 2: Convert to fraction form
    113,586/247,800 = 247,800/x
  3. Step 3: Cross multiply
    113,586x = 247,800 × 247,800
  4. Step 4: Simplify right side
    113,586x = 61,404,840,000
  5. Step 5: Solve for x
    x = 61,404,840,000/113,586
  6. Step 6: Final answer
    x = 540,602.19

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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.