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Finding the Third Proportional to 122,782.50 and 267,428.25

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Solution

The third proportional to 122,782.50 and 267,428.25 is: 582,476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,782.50 : 267,428.25 = 267,428.25 : x
  2. Step 2: Convert to fraction form
    122,782.50/267,428.25 = 267,428.25/x
  3. Step 3: Cross multiply
    122,782.50x = 267,428.25 × 267,428.25
  4. Step 4: Simplify right side
    122,782.50x = 71,517,868,898.06
  5. Step 5: Solve for x
    x = 71,517,868,898.06/122,782.50
  6. Step 6: Final answer
    x = 582,476.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.