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Finding the Third Proportional to 281,167.50 and 614,763

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Solution

The third proportional to 281,167.50 and 614,763 is: 1,344,158.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,167.50 : 614,763 = 614,763 : x
  2. Step 2: Convert to fraction form
    281,167.50/614,763 = 614,763/x
  3. Step 3: Cross multiply
    281,167.50x = 614,763 × 614,763
  4. Step 4: Simplify right side
    281,167.50x = 377,933,546,169
  5. Step 5: Solve for x
    x = 377,933,546,169/281,167.50
  6. Step 6: Final answer
    x = 1,344,158.01

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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.