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Finding the Third Proportional to 158,566.50 and 217,437.75

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Solution

The third proportional to 158,566.50 and 217,437.75 is: 298,166.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,566.50 : 217,437.75 = 217,437.75 : x
  2. Step 2: Convert to fraction form
    158,566.50/217,437.75 = 217,437.75/x
  3. Step 3: Cross multiply
    158,566.50x = 217,437.75 × 217,437.75
  4. Step 4: Simplify right side
    158,566.50x = 47,279,175,125.06
  5. Step 5: Solve for x
    x = 47,279,175,125.06/158,566.50
  6. Step 6: Final answer
    x = 298,166.23

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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.