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Finding the Third Proportional to 169,403 and 247,746

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Solution

The third proportional to 169,403 and 247,746 is: 362,319.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,403 : 247,746 = 247,746 : x
  2. Step 2: Convert to fraction form
    169,403/247,746 = 247,746/x
  3. Step 3: Cross multiply
    169,403x = 247,746 × 247,746
  4. Step 4: Simplify right side
    169,403x = 61,378,080,516
  5. Step 5: Solve for x
    x = 61,378,080,516/169,403
  6. Step 6: Final answer
    x = 362,319.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.