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Finding the Third Proportional to 105,878 and 232,504

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Solution

The third proportional to 105,878 and 232,504 is: 510,569.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,878 : 232,504 = 232,504 : x
  2. Step 2: Convert to fraction form
    105,878/232,504 = 232,504/x
  3. Step 3: Cross multiply
    105,878x = 232,504 × 232,504
  4. Step 4: Simplify right side
    105,878x = 54,058,110,016
  5. Step 5: Solve for x
    x = 54,058,110,016/105,878
  6. Step 6: Final answer
    x = 510,569.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.