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Finding the Third Proportional to 119,796 and 261,948

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Solution

The third proportional to 119,796 and 261,948 is: 572,780.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,796 : 261,948 = 261,948 : x
  2. Step 2: Convert to fraction form
    119,796/261,948 = 261,948/x
  3. Step 3: Cross multiply
    119,796x = 261,948 × 261,948
  4. Step 4: Simplify right side
    119,796x = 68,616,754,704
  5. Step 5: Solve for x
    x = 68,616,754,704/119,796
  6. Step 6: Final answer
    x = 572,780.02

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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.