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Finding the Third Proportional to 158,756 and 216,192

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Solution

The third proportional to 158,756 and 216,192 is: 294,407.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,756 : 216,192 = 216,192 : x
  2. Step 2: Convert to fraction form
    158,756/216,192 = 216,192/x
  3. Step 3: Cross multiply
    158,756x = 216,192 × 216,192
  4. Step 4: Simplify right side
    158,756x = 46,738,980,864
  5. Step 5: Solve for x
    x = 46,738,980,864/158,756
  6. Step 6: Final answer
    x = 294,407.65

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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.