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Finding the Third Proportional to 118,401 and 247,746

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Solution

The third proportional to 118,401 and 247,746 is: 518,391.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,401 : 247,746 = 247,746 : x
  2. Step 2: Convert to fraction form
    118,401/247,746 = 247,746/x
  3. Step 3: Cross multiply
    118,401x = 247,746 × 247,746
  4. Step 4: Simplify right side
    118,401x = 61,378,080,516
  5. Step 5: Solve for x
    x = 61,378,080,516/118,401
  6. Step 6: Final answer
    x = 518,391.57

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.