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Finding the Third Proportional to 129,452.25 and 276,894.75

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Solution

The third proportional to 129,452.25 and 276,894.75 is: 592,270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,452.25 : 276,894.75 = 276,894.75 : x
  2. Step 2: Convert to fraction form
    129,452.25/276,894.75 = 276,894.75/x
  3. Step 3: Cross multiply
    129,452.25x = 276,894.75 × 276,894.75
  4. Step 4: Simplify right side
    129,452.25x = 76,670,702,577.56
  5. Step 5: Solve for x
    x = 76,670,702,577.56/129,452.25
  6. Step 6: Final answer
    x = 592,270.14

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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.