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Finding the Third Proportional to 167,872.50 and 260,318.81

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Solution

The third proportional to 167,872.50 and 260,318.81 is: 403,674.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,872.50 : 260,318.81 = 260,318.81 : x
  2. Step 2: Convert to fraction form
    167,872.50/260,318.81 = 260,318.81/x
  3. Step 3: Cross multiply
    167,872.50x = 260,318.81 × 260,318.81
  4. Step 4: Simplify right side
    167,872.50x = 67,765,884,141.41
  5. Step 5: Solve for x
    x = 67,765,884,141.41/167,872.50
  6. Step 6: Final answer
    x = 403,674.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.