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Finding the Third Proportional to 79,980 and 185,156

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Solution

The third proportional to 79,980 and 185,156 is: 428,641.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,980 : 185,156 = 185,156 : x
  2. Step 2: Convert to fraction form
    79,980/185,156 = 185,156/x
  3. Step 3: Cross multiply
    79,980x = 185,156 × 185,156
  4. Step 4: Simplify right side
    79,980x = 34,282,744,336
  5. Step 5: Solve for x
    x = 34,282,744,336/79,980
  6. Step 6: Final answer
    x = 428,641.46

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.