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Finding the Third Proportional to 84,888 and 186,552

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Solution

The third proportional to 84,888 and 186,552 is: 409,971.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,888 : 186,552 = 186,552 : x
  2. Step 2: Convert to fraction form
    84,888/186,552 = 186,552/x
  3. Step 3: Cross multiply
    84,888x = 186,552 × 186,552
  4. Step 4: Simplify right side
    84,888x = 34,801,648,704
  5. Step 5: Solve for x
    x = 34,801,648,704/84,888
  6. Step 6: Final answer
    x = 409,971.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.