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Finding the Third Proportional to 124,340 and 268,334

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Solution

The third proportional to 124,340 and 268,334 is: 579,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,340 : 268,334 = 268,334 : x
  2. Step 2: Convert to fraction form
    124,340/268,334 = 268,334/x
  3. Step 3: Cross multiply
    124,340x = 268,334 × 268,334
  4. Step 4: Simplify right side
    124,340x = 72,003,135,556
  5. Step 5: Solve for x
    x = 72,003,135,556/124,340
  6. Step 6: Final answer
    x = 579,082.64

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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.