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Finding the Third Proportional to 105,988 and 230,472

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Solution

The third proportional to 105,988 and 230,472 is: 501,163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,988 : 230,472 = 230,472 : x
  2. Step 2: Convert to fraction form
    105,988/230,472 = 230,472/x
  3. Step 3: Cross multiply
    105,988x = 230,472 × 230,472
  4. Step 4: Simplify right side
    105,988x = 53,117,342,784
  5. Step 5: Solve for x
    x = 53,117,342,784/105,988
  6. Step 6: Final answer
    x = 501,163.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.