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Finding the Third Proportional to 107,486 and 232,492

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Solution

The third proportional to 107,486 and 232,492 is: 502,879.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,486 : 232,492 = 232,492 : x
  2. Step 2: Convert to fraction form
    107,486/232,492 = 232,492/x
  3. Step 3: Cross multiply
    107,486x = 232,492 × 232,492
  4. Step 4: Simplify right side
    107,486x = 54,052,530,064
  5. Step 5: Solve for x
    x = 54,052,530,064/107,486
  6. Step 6: Final answer
    x = 502,879.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.