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Finding the Third Proportional to 174,987 and 374,758.31

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Solution

The third proportional to 174,987 and 374,758.31 is: 802,595.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,987 : 374,758.31 = 374,758.31 : x
  2. Step 2: Convert to fraction form
    174,987/374,758.31 = 374,758.31/x
  3. Step 3: Cross multiply
    174,987x = 374,758.31 × 374,758.31
  4. Step 4: Simplify right side
    174,987x = 140,443,792,787.85
  5. Step 5: Solve for x
    x = 140,443,792,787.85/174,987
  6. Step 6: Final answer
    x = 802,595.58

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.