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Finding the Third Proportional to 159,658.75 and 266,086.50

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Solution

The third proportional to 159,658.75 and 266,086.50 is: 443,458.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,658.75 : 266,086.50 = 266,086.50 : x
  2. Step 2: Convert to fraction form
    159,658.75/266,086.50 = 266,086.50/x
  3. Step 3: Cross multiply
    159,658.75x = 266,086.50 × 266,086.50
  4. Step 4: Simplify right side
    159,658.75x = 70,802,025,482.25
  5. Step 5: Solve for x
    x = 70,802,025,482.25/159,658.75
  6. Step 6: Final answer
    x = 443,458.47

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.