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Finding the Third Proportional to 119,548 and 260,162

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Solution

The third proportional to 119,548 and 260,162 is: 566,168.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,548 : 260,162 = 260,162 : x
  2. Step 2: Convert to fraction form
    119,548/260,162 = 260,162/x
  3. Step 3: Cross multiply
    119,548x = 260,162 × 260,162
  4. Step 4: Simplify right side
    119,548x = 67,684,266,244
  5. Step 5: Solve for x
    x = 67,684,266,244/119,548
  6. Step 6: Final answer
    x = 566,168.12

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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.