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Finding the Third Proportional to 177,881.06 and 284,504.91

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Solution

The third proportional to 177,881.06 and 284,504.91 is: 455,040.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,881.06 : 284,504.91 = 284,504.91 : x
  2. Step 2: Convert to fraction form
    177,881.06/284,504.91 = 284,504.91/x
  3. Step 3: Cross multiply
    177,881.06x = 284,504.91 × 284,504.91
  4. Step 4: Simplify right side
    177,881.06x = 80,943,041,680.32
  5. Step 5: Solve for x
    x = 80,943,041,680.32/177,881.06
  6. Step 6: Final answer
    x = 455,040.24

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.