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Finding the Third Proportional to 177,707.25 and 278,079.75

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Solution

The third proportional to 177,707.25 and 278,079.75 is: 435,144.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,707.25 : 278,079.75 = 278,079.75 : x
  2. Step 2: Convert to fraction form
    177,707.25/278,079.75 = 278,079.75/x
  3. Step 3: Cross multiply
    177,707.25x = 278,079.75 × 278,079.75
  4. Step 4: Simplify right side
    177,707.25x = 77,328,347,360.06
  5. Step 5: Solve for x
    x = 77,328,347,360.06/177,707.25
  6. Step 6: Final answer
    x = 435,144.58

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.