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Finding the Third Proportional to 125,446 and 270,590

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Solution

The third proportional to 125,446 and 270,590 is: 583,669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,446 : 270,590 = 270,590 : x
  2. Step 2: Convert to fraction form
    125,446/270,590 = 270,590/x
  3. Step 3: Cross multiply
    125,446x = 270,590 × 270,590
  4. Step 4: Simplify right side
    125,446x = 73,218,948,100
  5. Step 5: Solve for x
    x = 73,218,948,100/125,446
  6. Step 6: Final answer
    x = 583,669.05

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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.