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Finding the Third Proportional to 106,632 and 230,341

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Solution

The third proportional to 106,632 and 230,341 is: 497,570.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,632 : 230,341 = 230,341 : x
  2. Step 2: Convert to fraction form
    106,632/230,341 = 230,341/x
  3. Step 3: Cross multiply
    106,632x = 230,341 × 230,341
  4. Step 4: Simplify right side
    106,632x = 53,056,976,281
  5. Step 5: Solve for x
    x = 53,056,976,281/106,632
  6. Step 6: Final answer
    x = 497,570.86

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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.