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Finding the Third Proportional to 71,307 and 163,363.50

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Solution

The third proportional to 71,307 and 163,363.50 is: 374,263.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,307 : 163,363.50 = 163,363.50 : x
  2. Step 2: Convert to fraction form
    71,307/163,363.50 = 163,363.50/x
  3. Step 3: Cross multiply
    71,307x = 163,363.50 × 163,363.50
  4. Step 4: Simplify right side
    71,307x = 26,687,633,132.25
  5. Step 5: Solve for x
    x = 26,687,633,132.25/71,307
  6. Step 6: Final answer
    x = 374,263.86

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.