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Finding the Third Proportional to 238,398 and 360,027.75

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Solution

The third proportional to 238,398 and 360,027.75 is: 543,712.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,398 : 360,027.75 = 360,027.75 : x
  2. Step 2: Convert to fraction form
    238,398/360,027.75 = 360,027.75/x
  3. Step 3: Cross multiply
    238,398x = 360,027.75 × 360,027.75
  4. Step 4: Simplify right side
    238,398x = 129,619,980,770.06
  5. Step 5: Solve for x
    x = 129,619,980,770.06/238,398
  6. Step 6: Final answer
    x = 543,712.53

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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.