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Finding the Third Proportional to 105,230 and 232,612

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Solution

The third proportional to 105,230 and 232,612 is: 514,191.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,230 : 232,612 = 232,612 : x
  2. Step 2: Convert to fraction form
    105,230/232,612 = 232,612/x
  3. Step 3: Cross multiply
    105,230x = 232,612 × 232,612
  4. Step 4: Simplify right side
    105,230x = 54,108,342,544
  5. Step 5: Solve for x
    x = 54,108,342,544/105,230
  6. Step 6: Final answer
    x = 514,191.22

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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.