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Finding the Third Proportional to 125,334 and 270,645.75

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Solution

The third proportional to 125,334 and 270,645.75 is: 584,431.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,334 : 270,645.75 = 270,645.75 : x
  2. Step 2: Convert to fraction form
    125,334/270,645.75 = 270,645.75/x
  3. Step 3: Cross multiply
    125,334x = 270,645.75 × 270,645.75
  4. Step 4: Simplify right side
    125,334x = 73,249,121,993.06
  5. Step 5: Solve for x
    x = 73,249,121,993.06/125,334
  6. Step 6: Final answer
    x = 584,431.38

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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.