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Finding the Third Proportional to 105,363 and 232,884

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Solution

The third proportional to 105,363 and 232,884 is: 514,743.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,363 : 232,884 = 232,884 : x
  2. Step 2: Convert to fraction form
    105,363/232,884 = 232,884/x
  3. Step 3: Cross multiply
    105,363x = 232,884 × 232,884
  4. Step 4: Simplify right side
    105,363x = 54,234,957,456
  5. Step 5: Solve for x
    x = 54,234,957,456/105,363
  6. Step 6: Final answer
    x = 514,743.86

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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.