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Finding the Third Proportional to 167,948 and 260,035

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Solution

The third proportional to 167,948 and 260,035 is: 402,613.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,948 : 260,035 = 260,035 : x
  2. Step 2: Convert to fraction form
    167,948/260,035 = 260,035/x
  3. Step 3: Cross multiply
    167,948x = 260,035 × 260,035
  4. Step 4: Simplify right side
    167,948x = 67,618,201,225
  5. Step 5: Solve for x
    x = 67,618,201,225/167,948
  6. Step 6: Final answer
    x = 402,613.91

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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.