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Finding the Third Proportional to 119,211 and 260,567

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Solution

The third proportional to 119,211 and 260,567 is: 569,537.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,211 : 260,567 = 260,567 : x
  2. Step 2: Convert to fraction form
    119,211/260,567 = 260,567/x
  3. Step 3: Cross multiply
    119,211x = 260,567 × 260,567
  4. Step 4: Simplify right side
    119,211x = 67,895,161,489
  5. Step 5: Solve for x
    x = 67,895,161,489/119,211
  6. Step 6: Final answer
    x = 569,537.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.