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Finding the Third Proportional to 80,506 and 176,948

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Solution

The third proportional to 80,506 and 176,948 is: 388,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,506 : 176,948 = 176,948 : x
  2. Step 2: Convert to fraction form
    80,506/176,948 = 176,948/x
  3. Step 3: Cross multiply
    80,506x = 176,948 × 176,948
  4. Step 4: Simplify right side
    80,506x = 31,310,594,704
  5. Step 5: Solve for x
    x = 31,310,594,704/80,506
  6. Step 6: Final answer
    x = 388,922.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.