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Finding the Third Proportional to 119,818 and 260,716

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Solution

The third proportional to 119,818 and 260,716 is: 567,300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,818 : 260,716 = 260,716 : x
  2. Step 2: Convert to fraction form
    119,818/260,716 = 260,716/x
  3. Step 3: Cross multiply
    119,818x = 260,716 × 260,716
  4. Step 4: Simplify right side
    119,818x = 67,972,832,656
  5. Step 5: Solve for x
    x = 67,972,832,656/119,818
  6. Step 6: Final answer
    x = 567,300.68

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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.