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Finding the Third Proportional to 119,488 and 260,864

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Solution

The third proportional to 119,488 and 260,864 is: 569,513.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,488 : 260,864 = 260,864 : x
  2. Step 2: Convert to fraction form
    119,488/260,864 = 260,864/x
  3. Step 3: Cross multiply
    119,488x = 260,864 × 260,864
  4. Step 4: Simplify right side
    119,488x = 68,050,026,496
  5. Step 5: Solve for x
    x = 68,050,026,496/119,488
  6. Step 6: Final answer
    x = 569,513.48

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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.