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Finding the Third Proportional to 86,466 and 177,200

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Solution

The third proportional to 86,466 and 177,200 is: 363,146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,466 : 177,200 = 177,200 : x
  2. Step 2: Convert to fraction form
    86,466/177,200 = 177,200/x
  3. Step 3: Cross multiply
    86,466x = 177,200 × 177,200
  4. Step 4: Simplify right side
    86,466x = 31,399,840,000
  5. Step 5: Solve for x
    x = 31,399,840,000/86,466
  6. Step 6: Final answer
    x = 363,146.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.