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Finding the Third Proportional to 195,586 and 293,813

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Solution

The third proportional to 195,586 and 293,813 is: 441,371.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,586 : 293,813 = 293,813 : x
  2. Step 2: Convert to fraction form
    195,586/293,813 = 293,813/x
  3. Step 3: Cross multiply
    195,586x = 293,813 × 293,813
  4. Step 4: Simplify right side
    195,586x = 86,326,078,969
  5. Step 5: Solve for x
    x = 86,326,078,969/195,586
  6. Step 6: Final answer
    x = 441,371.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.