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Finding the Third Proportional to 119,044 and 260,930

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Solution

The third proportional to 119,044 and 260,930 is: 571,926.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,044 : 260,930 = 260,930 : x
  2. Step 2: Convert to fraction form
    119,044/260,930 = 260,930/x
  3. Step 3: Cross multiply
    119,044x = 260,930 × 260,930
  4. Step 4: Simplify right side
    119,044x = 68,084,464,900
  5. Step 5: Solve for x
    x = 68,084,464,900/119,044
  6. Step 6: Final answer
    x = 571,926.89

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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.