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Finding the Third Proportional to 114,260 and 162,398

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Solution

The third proportional to 114,260 and 162,398 is: 230,816.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,260 : 162,398 = 162,398 : x
  2. Step 2: Convert to fraction form
    114,260/162,398 = 162,398/x
  3. Step 3: Cross multiply
    114,260x = 162,398 × 162,398
  4. Step 4: Simplify right side
    114,260x = 26,373,110,404
  5. Step 5: Solve for x
    x = 26,373,110,404/114,260
  6. Step 6: Final answer
    x = 230,816.65

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.