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Finding the Third Proportional to 167,983.88 and 260,101.13

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Solution

The third proportional to 167,983.88 and 260,101.13 is: 402,732.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,983.88 : 260,101.13 = 260,101.13 : x
  2. Step 2: Convert to fraction form
    167,983.88/260,101.13 = 260,101.13/x
  3. Step 3: Cross multiply
    167,983.88x = 260,101.13 × 260,101.13
  4. Step 4: Simplify right side
    167,983.88x = 67,652,595,226.27
  5. Step 5: Solve for x
    x = 67,652,595,226.27/167,983.88
  6. Step 6: Final answer
    x = 402,732.67

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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.