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Finding the Third Proportional to 119,289 and 260,013

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Solution

The third proportional to 119,289 and 260,013 is: 566,747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,289 : 260,013 = 260,013 : x
  2. Step 2: Convert to fraction form
    119,289/260,013 = 260,013/x
  3. Step 3: Cross multiply
    119,289x = 260,013 × 260,013
  4. Step 4: Simplify right side
    119,289x = 67,606,760,169
  5. Step 5: Solve for x
    x = 67,606,760,169/119,289
  6. Step 6: Final answer
    x = 566,747.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.