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Finding the Third Proportional to 177,298.88 and 265,321.83

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Solution

The third proportional to 177,298.88 and 265,321.83 is: 397,045.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,298.88 : 265,321.83 = 265,321.83 : x
  2. Step 2: Convert to fraction form
    177,298.88/265,321.83 = 265,321.83/x
  3. Step 3: Cross multiply
    177,298.88x = 265,321.83 × 265,321.83
  4. Step 4: Simplify right side
    177,298.88x = 70,395,672,479.59
  5. Step 5: Solve for x
    x = 70,395,672,479.59/177,298.88
  6. Step 6: Final answer
    x = 397,045.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.