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Finding the Third Proportional to 119,580 and 262,485

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Solution

The third proportional to 119,580 and 262,485 is: 576,169.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,580 : 262,485 = 262,485 : x
  2. Step 2: Convert to fraction form
    119,580/262,485 = 262,485/x
  3. Step 3: Cross multiply
    119,580x = 262,485 × 262,485
  4. Step 4: Simplify right side
    119,580x = 68,898,375,225
  5. Step 5: Solve for x
    x = 68,898,375,225/119,580
  6. Step 6: Final answer
    x = 576,169.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.