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Finding the Third Proportional to 115,407 and 182,586

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Solution

The third proportional to 115,407 and 182,586 is: 288,870.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,407 : 182,586 = 182,586 : x
  2. Step 2: Convert to fraction form
    115,407/182,586 = 182,586/x
  3. Step 3: Cross multiply
    115,407x = 182,586 × 182,586
  4. Step 4: Simplify right side
    115,407x = 33,337,647,396
  5. Step 5: Solve for x
    x = 33,337,647,396/115,407
  6. Step 6: Final answer
    x = 288,870.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.