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Finding the Third Proportional to 119,464 and 260,816

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Solution

The third proportional to 119,464 and 260,816 is: 569,418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,464 : 260,816 = 260,816 : x
  2. Step 2: Convert to fraction form
    119,464/260,816 = 260,816/x
  3. Step 3: Cross multiply
    119,464x = 260,816 × 260,816
  4. Step 4: Simplify right side
    119,464x = 68,024,985,856
  5. Step 5: Solve for x
    x = 68,024,985,856/119,464
  6. Step 6: Final answer
    x = 569,418.28

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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.