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Finding the Third Proportional to 119,558 and 262,336

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Solution

The third proportional to 119,558 and 262,336 is: 575,621.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,558 : 262,336 = 262,336 : x
  2. Step 2: Convert to fraction form
    119,558/262,336 = 262,336/x
  3. Step 3: Cross multiply
    119,558x = 262,336 × 262,336
  4. Step 4: Simplify right side
    119,558x = 68,820,176,896
  5. Step 5: Solve for x
    x = 68,820,176,896/119,558
  6. Step 6: Final answer
    x = 575,621.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.