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Finding the Third Proportional to 125,391.80 and 270,770.34

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Solution

The third proportional to 125,391.80 and 270,770.34 is: 584,699.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,391.80 : 270,770.34 = 270,770.34 : x
  2. Step 2: Convert to fraction form
    125,391.80/270,770.34 = 270,770.34/x
  3. Step 3: Cross multiply
    125,391.80x = 270,770.34 × 270,770.34
  4. Step 4: Simplify right side
    125,391.80x = 73,316,579,054.49
  5. Step 5: Solve for x
    x = 73,316,579,054.49/125,391.80
  6. Step 6: Final answer
    x = 584,699.96

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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.