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Finding the Third Proportional to 177,253.31 and 258,263.44

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Solution

The third proportional to 177,253.31 and 258,263.44 is: 376,297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,253.31 : 258,263.44 = 258,263.44 : x
  2. Step 2: Convert to fraction form
    177,253.31/258,263.44 = 258,263.44/x
  3. Step 3: Cross multiply
    177,253.31x = 258,263.44 × 258,263.44
  4. Step 4: Simplify right side
    177,253.31x = 66,700,003,149.32
  5. Step 5: Solve for x
    x = 66,700,003,149.32/177,253.31
  6. Step 6: Final answer
    x = 376,297.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.