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Finding the Third Proportional to 202,687.50 and 444,291

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Solution

The third proportional to 202,687.50 and 444,291 is: 973,885.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,687.50 : 444,291 = 444,291 : x
  2. Step 2: Convert to fraction form
    202,687.50/444,291 = 444,291/x
  3. Step 3: Cross multiply
    202,687.50x = 444,291 × 444,291
  4. Step 4: Simplify right side
    202,687.50x = 197,394,492,681
  5. Step 5: Solve for x
    x = 197,394,492,681/202,687.50
  6. Step 6: Final answer
    x = 973,885.87

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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.