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Finding the Third Proportional to 238,356.50 and 349,742.75

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Solution

The third proportional to 238,356.50 and 349,742.75 is: 513,180.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,356.50 : 349,742.75 = 349,742.75 : x
  2. Step 2: Convert to fraction form
    238,356.50/349,742.75 = 349,742.75/x
  3. Step 3: Cross multiply
    238,356.50x = 349,742.75 × 349,742.75
  4. Step 4: Simplify right side
    238,356.50x = 122,319,991,177.56
  5. Step 5: Solve for x
    x = 122,319,991,177.56/238,356.50
  6. Step 6: Final answer
    x = 513,180.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.