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Finding the Third Proportional to 105,426 and 232,452

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Solution

The third proportional to 105,426 and 232,452 is: 512,529.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,426 : 232,452 = 232,452 : x
  2. Step 2: Convert to fraction form
    105,426/232,452 = 232,452/x
  3. Step 3: Cross multiply
    105,426x = 232,452 × 232,452
  4. Step 4: Simplify right side
    105,426x = 54,033,932,304
  5. Step 5: Solve for x
    x = 54,033,932,304/105,426
  6. Step 6: Final answer
    x = 512,529.47

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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.