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Finding the Third Proportional to 130,167 and 206,286.75

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Solution

The third proportional to 130,167 and 206,286.75 is: 326,920.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,167 : 206,286.75 = 206,286.75 : x
  2. Step 2: Convert to fraction form
    130,167/206,286.75 = 206,286.75/x
  3. Step 3: Cross multiply
    130,167x = 206,286.75 × 206,286.75
  4. Step 4: Simplify right side
    130,167x = 42,554,223,225.56
  5. Step 5: Solve for x
    x = 42,554,223,225.56/130,167
  6. Step 6: Final answer
    x = 326,920.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.