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Finding the Third Proportional to 84,220 and 180,110

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Solution

The third proportional to 84,220 and 180,110 is: 385,177.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,220 : 180,110 = 180,110 : x
  2. Step 2: Convert to fraction form
    84,220/180,110 = 180,110/x
  3. Step 3: Cross multiply
    84,220x = 180,110 × 180,110
  4. Step 4: Simplify right side
    84,220x = 32,439,612,100
  5. Step 5: Solve for x
    x = 32,439,612,100/84,220
  6. Step 6: Final answer
    x = 385,177.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.