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Finding the Third Proportional to 125,334.84 and 270,643.78

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Solution

The third proportional to 125,334.84 and 270,643.78 is: 584,418.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,334.84 : 270,643.78 = 270,643.78 : x
  2. Step 2: Convert to fraction form
    125,334.84/270,643.78 = 270,643.78/x
  3. Step 3: Cross multiply
    125,334.84x = 270,643.78 × 270,643.78
  4. Step 4: Simplify right side
    125,334.84x = 73,248,056,329.30
  5. Step 5: Solve for x
    x = 73,248,056,329.30/125,334.84
  6. Step 6: Final answer
    x = 584,418.94

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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.