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Finding the Third Proportional to 179,988 and 382,166

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Solution

The third proportional to 179,988 and 382,166 is: 811,447.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,988 : 382,166 = 382,166 : x
  2. Step 2: Convert to fraction form
    179,988/382,166 = 382,166/x
  3. Step 3: Cross multiply
    179,988x = 382,166 × 382,166
  4. Step 4: Simplify right side
    179,988x = 146,050,851,556
  5. Step 5: Solve for x
    x = 146,050,851,556/179,988
  6. Step 6: Final answer
    x = 811,447.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.