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Finding the Third Proportional to 119,552 and 258,896

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Solution

The third proportional to 119,552 and 258,896 is: 560,652.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,552 : 258,896 = 258,896 : x
  2. Step 2: Convert to fraction form
    119,552/258,896 = 258,896/x
  3. Step 3: Cross multiply
    119,552x = 258,896 × 258,896
  4. Step 4: Simplify right side
    119,552x = 67,027,138,816
  5. Step 5: Solve for x
    x = 67,027,138,816/119,552
  6. Step 6: Final answer
    x = 560,652.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.