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Finding the Third Proportional to 131,640.19 and 278,969.06

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Solution

The third proportional to 131,640.19 and 278,969.06 is: 591,185.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,640.19 : 278,969.06 = 278,969.06 : x
  2. Step 2: Convert to fraction form
    131,640.19/278,969.06 = 278,969.06/x
  3. Step 3: Cross multiply
    131,640.19x = 278,969.06 × 278,969.06
  4. Step 4: Simplify right side
    131,640.19x = 77,823,737,832.13
  5. Step 5: Solve for x
    x = 77,823,737,832.13/131,640.19
  6. Step 6: Final answer
    x = 591,185.26

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.