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Finding the Third Proportional to 281,173 and 400,725

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Solution

The third proportional to 281,173 and 400,725 is: 571,109.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,173 : 400,725 = 400,725 : x
  2. Step 2: Convert to fraction form
    281,173/400,725 = 400,725/x
  3. Step 3: Cross multiply
    281,173x = 400,725 × 400,725
  4. Step 4: Simplify right side
    281,173x = 160,580,525,625
  5. Step 5: Solve for x
    x = 160,580,525,625/281,173
  6. Step 6: Final answer
    x = 571,109.34

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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.