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Finding the Third Proportional to 83,463.50 and 176,859.50

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Solution

The third proportional to 83,463.50 and 176,859.50 is: 374,766.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,463.50 : 176,859.50 = 176,859.50 : x
  2. Step 2: Convert to fraction form
    83,463.50/176,859.50 = 176,859.50/x
  3. Step 3: Cross multiply
    83,463.50x = 176,859.50 × 176,859.50
  4. Step 4: Simplify right side
    83,463.50x = 31,279,282,740.25
  5. Step 5: Solve for x
    x = 31,279,282,740.25/83,463.50
  6. Step 6: Final answer
    x = 374,766.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.