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Finding the Third Proportional to 253,867.50 and 542,713.50

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Solution

The third proportional to 253,867.50 and 542,713.50 is: 1,160,203.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,867.50 : 542,713.50 = 542,713.50 : x
  2. Step 2: Convert to fraction form
    253,867.50/542,713.50 = 542,713.50/x
  3. Step 3: Cross multiply
    253,867.50x = 542,713.50 × 542,713.50
  4. Step 4: Simplify right side
    253,867.50x = 294,537,943,082.25
  5. Step 5: Solve for x
    x = 294,537,943,082.25/253,867.50
  6. Step 6: Final answer
    x = 1,160,203.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.