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Finding the Third Proportional to 105,231 and 232,614

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Solution

The third proportional to 105,231 and 232,614 is: 514,195.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,231 : 232,614 = 232,614 : x
  2. Step 2: Convert to fraction form
    105,231/232,614 = 232,614/x
  3. Step 3: Cross multiply
    105,231x = 232,614 × 232,614
  4. Step 4: Simplify right side
    105,231x = 54,109,272,996
  5. Step 5: Solve for x
    x = 54,109,272,996/105,231
  6. Step 6: Final answer
    x = 514,195.18

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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.