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Finding the Third Proportional to 173,885.50 and 366,452

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Solution

The third proportional to 173,885.50 and 366,452 is: 772,272.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,885.50 : 366,452 = 366,452 : x
  2. Step 2: Convert to fraction form
    173,885.50/366,452 = 366,452/x
  3. Step 3: Cross multiply
    173,885.50x = 366,452 × 366,452
  4. Step 4: Simplify right side
    173,885.50x = 134,287,068,304
  5. Step 5: Solve for x
    x = 134,287,068,304/173,885.50
  6. Step 6: Final answer
    x = 772,272.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.