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Finding the Third Proportional to 252,913.50 and 381,040.50

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Solution

The third proportional to 252,913.50 and 381,040.50 is: 574,077.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,913.50 : 381,040.50 = 381,040.50 : x
  2. Step 2: Convert to fraction form
    252,913.50/381,040.50 = 381,040.50/x
  3. Step 3: Cross multiply
    252,913.50x = 381,040.50 × 381,040.50
  4. Step 4: Simplify right side
    252,913.50x = 145,191,862,640.25
  5. Step 5: Solve for x
    x = 145,191,862,640.25/252,913.50
  6. Step 6: Final answer
    x = 574,077.16

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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.