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Finding the Third Proportional to 84,675 and 180,597

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Solution

The third proportional to 84,675 and 180,597 is: 385,181.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,675 : 180,597 = 180,597 : x
  2. Step 2: Convert to fraction form
    84,675/180,597 = 180,597/x
  3. Step 3: Cross multiply
    84,675x = 180,597 × 180,597
  4. Step 4: Simplify right side
    84,675x = 32,615,276,409
  5. Step 5: Solve for x
    x = 32,615,276,409/84,675
  6. Step 6: Final answer
    x = 385,181.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.