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Finding the Third Proportional to 238,429.75 and 334,180.75

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Solution

The third proportional to 238,429.75 and 334,180.75 is: 468,384.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,429.75 : 334,180.75 = 334,180.75 : x
  2. Step 2: Convert to fraction form
    238,429.75/334,180.75 = 334,180.75/x
  3. Step 3: Cross multiply
    238,429.75x = 334,180.75 × 334,180.75
  4. Step 4: Simplify right side
    238,429.75x = 111,676,773,670.56
  5. Step 5: Solve for x
    x = 111,676,773,670.56/238,429.75
  6. Step 6: Final answer
    x = 468,384.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.