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Finding the Third Proportional to 105,295 and 248,567

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Solution

The third proportional to 105,295 and 248,567 is: 586,785.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,295 : 248,567 = 248,567 : x
  2. Step 2: Convert to fraction form
    105,295/248,567 = 248,567/x
  3. Step 3: Cross multiply
    105,295x = 248,567 × 248,567
  4. Step 4: Simplify right side
    105,295x = 61,785,553,489
  5. Step 5: Solve for x
    x = 61,785,553,489/105,295
  6. Step 6: Final answer
    x = 586,785.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.