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Finding the Third Proportional to 113,416 and 247,585

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Solution

The third proportional to 113,416 and 247,585 is: 540,473.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,416 : 247,585 = 247,585 : x
  2. Step 2: Convert to fraction form
    113,416/247,585 = 247,585/x
  3. Step 3: Cross multiply
    113,416x = 247,585 × 247,585
  4. Step 4: Simplify right side
    113,416x = 61,298,332,225
  5. Step 5: Solve for x
    x = 61,298,332,225/113,416
  6. Step 6: Final answer
    x = 540,473.41

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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.