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Finding the Third Proportional to 238,393.50 and 360,021

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Solution

The third proportional to 238,393.50 and 360,021 is: 543,702.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,393.50 : 360,021 = 360,021 : x
  2. Step 2: Convert to fraction form
    238,393.50/360,021 = 360,021/x
  3. Step 3: Cross multiply
    238,393.50x = 360,021 × 360,021
  4. Step 4: Simplify right side
    238,393.50x = 129,615,120,441
  5. Step 5: Solve for x
    x = 129,615,120,441/238,393.50
  6. Step 6: Final answer
    x = 543,702.41

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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.