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Finding the Third Proportional to 125,322.75 and 270,407.25

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Solution

The third proportional to 125,322.75 and 270,407.25 is: 583,454.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,322.75 : 270,407.25 = 270,407.25 : x
  2. Step 2: Convert to fraction form
    125,322.75/270,407.25 = 270,407.25/x
  3. Step 3: Cross multiply
    125,322.75x = 270,407.25 × 270,407.25
  4. Step 4: Simplify right side
    125,322.75x = 73,120,080,852.56
  5. Step 5: Solve for x
    x = 73,120,080,852.56/125,322.75
  6. Step 6: Final answer
    x = 583,454.17

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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.