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Finding the Third Proportional to 86,788 and 180,487

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Solution

The third proportional to 86,788 and 180,487 is: 375,346.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,788 : 180,487 = 180,487 : x
  2. Step 2: Convert to fraction form
    86,788/180,487 = 180,487/x
  3. Step 3: Cross multiply
    86,788x = 180,487 × 180,487
  4. Step 4: Simplify right side
    86,788x = 32,575,557,169
  5. Step 5: Solve for x
    x = 32,575,557,169/86,788
  6. Step 6: Final answer
    x = 375,346.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.