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Finding the Third Proportional to 261,119.50 and 352,311.75

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Solution

The third proportional to 261,119.50 and 352,311.75 is: 475,351.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,119.50 : 352,311.75 = 352,311.75 : x
  2. Step 2: Convert to fraction form
    261,119.50/352,311.75 = 352,311.75/x
  3. Step 3: Cross multiply
    261,119.50x = 352,311.75 × 352,311.75
  4. Step 4: Simplify right side
    261,119.50x = 124,123,569,188.06
  5. Step 5: Solve for x
    x = 124,123,569,188.06/261,119.50
  6. Step 6: Final answer
    x = 475,351.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.