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Finding the Third Proportional to 238,519.69 and 334,281.94

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Solution

The third proportional to 238,519.69 and 334,281.94 is: 468,491.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,519.69 : 334,281.94 = 334,281.94 : x
  2. Step 2: Convert to fraction form
    238,519.69/334,281.94 = 334,281.94/x
  3. Step 3: Cross multiply
    238,519.69x = 334,281.94 × 334,281.94
  4. Step 4: Simplify right side
    238,519.69x = 111,744,413,738.75
  5. Step 5: Solve for x
    x = 111,744,413,738.75/238,519.69
  6. Step 6: Final answer
    x = 468,491.36

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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.