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Finding the Third Proportional to 134,399 and 282,586

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Solution

The third proportional to 134,399 and 282,586 is: 594,162.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,399 : 282,586 = 282,586 : x
  2. Step 2: Convert to fraction form
    134,399/282,586 = 282,586/x
  3. Step 3: Cross multiply
    134,399x = 282,586 × 282,586
  4. Step 4: Simplify right side
    134,399x = 79,854,847,396
  5. Step 5: Solve for x
    x = 79,854,847,396/134,399
  6. Step 6: Final answer
    x = 594,162.51

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.