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Finding the Third Proportional to 86,466 and 177,202.50

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Solution

The third proportional to 86,466 and 177,202.50 is: 363,156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,466 : 177,202.50 = 177,202.50 : x
  2. Step 2: Convert to fraction form
    86,466/177,202.50 = 177,202.50/x
  3. Step 3: Cross multiply
    86,466x = 177,202.50 × 177,202.50
  4. Step 4: Simplify right side
    86,466x = 31,400,726,006.25
  5. Step 5: Solve for x
    x = 31,400,726,006.25/86,466
  6. Step 6: Final answer
    x = 363,156.92

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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.