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Finding the Third Proportional to 80,368 and 174,560

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Solution

The third proportional to 80,368 and 174,560 is: 379,145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,368 : 174,560 = 174,560 : x
  2. Step 2: Convert to fraction form
    80,368/174,560 = 174,560/x
  3. Step 3: Cross multiply
    80,368x = 174,560 × 174,560
  4. Step 4: Simplify right side
    80,368x = 30,471,193,600
  5. Step 5: Solve for x
    x = 30,471,193,600/80,368
  6. Step 6: Final answer
    x = 379,145.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.