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Finding the Third Proportional to 238,385.75 and 360,008.75

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Solution

The third proportional to 238,385.75 and 360,008.75 is: 543,683.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,385.75 : 360,008.75 = 360,008.75 : x
  2. Step 2: Convert to fraction form
    238,385.75/360,008.75 = 360,008.75/x
  3. Step 3: Cross multiply
    238,385.75x = 360,008.75 × 360,008.75
  4. Step 4: Simplify right side
    238,385.75x = 129,606,300,076.56
  5. Step 5: Solve for x
    x = 129,606,300,076.56/238,385.75
  6. Step 6: Final answer
    x = 543,683.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.