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Finding the Third Proportional to 158,565.75 and 217,436.50

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Solution

The third proportional to 158,565.75 and 217,436.50 is: 298,164.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,565.75 : 217,436.50 = 217,436.50 : x
  2. Step 2: Convert to fraction form
    158,565.75/217,436.50 = 217,436.50/x
  3. Step 3: Cross multiply
    158,565.75x = 217,436.50 × 217,436.50
  4. Step 4: Simplify right side
    158,565.75x = 47,278,631,532.25
  5. Step 5: Solve for x
    x = 47,278,631,532.25/158,565.75
  6. Step 6: Final answer
    x = 298,164.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.