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Finding the Third Proportional to 281,175.75 and 400,729.50

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Solution

The third proportional to 281,175.75 and 400,729.50 is: 571,116.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,175.75 : 400,729.50 = 400,729.50 : x
  2. Step 2: Convert to fraction form
    281,175.75/400,729.50 = 400,729.50/x
  3. Step 3: Cross multiply
    281,175.75x = 400,729.50 × 400,729.50
  4. Step 4: Simplify right side
    281,175.75x = 160,584,132,170.25
  5. Step 5: Solve for x
    x = 160,584,132,170.25/281,175.75
  6. Step 6: Final answer
    x = 571,116.58

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.