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Finding the Third Proportional to 238,446.50 and 360,100

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Solution

The third proportional to 238,446.50 and 360,100 is: 543,820.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,446.50 : 360,100 = 360,100 : x
  2. Step 2: Convert to fraction form
    238,446.50/360,100 = 360,100/x
  3. Step 3: Cross multiply
    238,446.50x = 360,100 × 360,100
  4. Step 4: Simplify right side
    238,446.50x = 129,672,010,000
  5. Step 5: Solve for x
    x = 129,672,010,000/238,446.50
  6. Step 6: Final answer
    x = 543,820.14

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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.