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Finding the Third Proportional to 119,816 and 260,712

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Solution

The third proportional to 119,816 and 260,712 is: 567,292.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,816 : 260,712 = 260,712 : x
  2. Step 2: Convert to fraction form
    119,816/260,712 = 260,712/x
  3. Step 3: Cross multiply
    119,816x = 260,712 × 260,712
  4. Step 4: Simplify right side
    119,816x = 67,970,746,944
  5. Step 5: Solve for x
    x = 67,970,746,944/119,816
  6. Step 6: Final answer
    x = 567,292.74

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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.