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Finding the Third Proportional to 105,257 and 232,668

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Solution

The third proportional to 105,257 and 232,668 is: 514,306.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,257 : 232,668 = 232,668 : x
  2. Step 2: Convert to fraction form
    105,257/232,668 = 232,668/x
  3. Step 3: Cross multiply
    105,257x = 232,668 × 232,668
  4. Step 4: Simplify right side
    105,257x = 54,134,398,224
  5. Step 5: Solve for x
    x = 54,134,398,224/105,257
  6. Step 6: Final answer
    x = 514,306.87

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.