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Finding the Third Proportional to 158,703 and 215,295

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Solution

The third proportional to 158,703 and 215,295 is: 292,067.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,703 : 215,295 = 215,295 : x
  2. Step 2: Convert to fraction form
    158,703/215,295 = 215,295/x
  3. Step 3: Cross multiply
    158,703x = 215,295 × 215,295
  4. Step 4: Simplify right side
    158,703x = 46,351,937,025
  5. Step 5: Solve for x
    x = 46,351,937,025/158,703
  6. Step 6: Final answer
    x = 292,067.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.