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Finding the Third Proportional to 119,952 and 260,640

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Solution

The third proportional to 119,952 and 260,640 is: 566,336.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,952 : 260,640 = 260,640 : x
  2. Step 2: Convert to fraction form
    119,952/260,640 = 260,640/x
  3. Step 3: Cross multiply
    119,952x = 260,640 × 260,640
  4. Step 4: Simplify right side
    119,952x = 67,933,209,600
  5. Step 5: Solve for x
    x = 67,933,209,600/119,952
  6. Step 6: Final answer
    x = 566,336.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.