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Finding the Third Proportional to 124,216.50 and 268,275

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Solution

The third proportional to 124,216.50 and 268,275 is: 579,403.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,216.50 : 268,275 = 268,275 : x
  2. Step 2: Convert to fraction form
    124,216.50/268,275 = 268,275/x
  3. Step 3: Cross multiply
    124,216.50x = 268,275 × 268,275
  4. Step 4: Simplify right side
    124,216.50x = 71,971,475,625
  5. Step 5: Solve for x
    x = 71,971,475,625/124,216.50
  6. Step 6: Final answer
    x = 579,403.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.