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Finding the Third Proportional to 281,291 and 375,757.50

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Solution

The third proportional to 281,291 and 375,757.50 is: 501,948.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,291 : 375,757.50 = 375,757.50 : x
  2. Step 2: Convert to fraction form
    281,291/375,757.50 = 375,757.50/x
  3. Step 3: Cross multiply
    281,291x = 375,757.50 × 375,757.50
  4. Step 4: Simplify right side
    281,291x = 141,193,698,806.25
  5. Step 5: Solve for x
    x = 141,193,698,806.25/281,291
  6. Step 6: Final answer
    x = 501,948.87

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.