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Finding the Third Proportional to 177,260.06 and 254,817.56

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Solution

The third proportional to 177,260.06 and 254,817.56 is: 366,309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,260.06 : 254,817.56 = 254,817.56 : x
  2. Step 2: Convert to fraction form
    177,260.06/254,817.56 = 254,817.56/x
  3. Step 3: Cross multiply
    177,260.06x = 254,817.56 × 254,817.56
  4. Step 4: Simplify right side
    177,260.06x = 64,931,990,158.44
  5. Step 5: Solve for x
    x = 64,931,990,158.44/177,260.06
  6. Step 6: Final answer
    x = 366,309.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.