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Finding the Third Proportional to 119,152 and 261,919

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Solution

The third proportional to 119,152 and 261,919 is: 575,748.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,152 : 261,919 = 261,919 : x
  2. Step 2: Convert to fraction form
    119,152/261,919 = 261,919/x
  3. Step 3: Cross multiply
    119,152x = 261,919 × 261,919
  4. Step 4: Simplify right side
    119,152x = 68,601,562,561
  5. Step 5: Solve for x
    x = 68,601,562,561/119,152
  6. Step 6: Final answer
    x = 575,748.31

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.