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Finding the Third Proportional to 109,384 and 156,416

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Solution

The third proportional to 109,384 and 156,416 is: 223,670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,384 : 156,416 = 156,416 : x
  2. Step 2: Convert to fraction form
    109,384/156,416 = 156,416/x
  3. Step 3: Cross multiply
    109,384x = 156,416 × 156,416
  4. Step 4: Simplify right side
    109,384x = 24,465,965,056
  5. Step 5: Solve for x
    x = 24,465,965,056/109,384
  6. Step 6: Final answer
    x = 223,670.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.