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Finding the Third Proportional to 88,418 and 180,920

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Solution

The third proportional to 88,418 and 180,920 is: 370,196.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,418 : 180,920 = 180,920 : x
  2. Step 2: Convert to fraction form
    88,418/180,920 = 180,920/x
  3. Step 3: Cross multiply
    88,418x = 180,920 × 180,920
  4. Step 4: Simplify right side
    88,418x = 32,732,046,400
  5. Step 5: Solve for x
    x = 32,732,046,400/88,418
  6. Step 6: Final answer
    x = 370,196.64

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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.