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Finding the Third Proportional to 174,731.06 and 382,175.44

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Solution

The third proportional to 174,731.06 and 382,175.44 is: 835,902.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,731.06 : 382,175.44 = 382,175.44 : x
  2. Step 2: Convert to fraction form
    174,731.06/382,175.44 = 382,175.44/x
  3. Step 3: Cross multiply
    174,731.06x = 382,175.44 × 382,175.44
  4. Step 4: Simplify right side
    174,731.06x = 146,058,065,028.32
  5. Step 5: Solve for x
    x = 146,058,065,028.32/174,731.06
  6. Step 6: Final answer
    x = 835,902.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.