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Finding the Third Proportional to 204,487.50 and 446,154

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Solution

The third proportional to 204,487.50 and 446,154 is: 973,425.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,487.50 : 446,154 = 446,154 : x
  2. Step 2: Convert to fraction form
    204,487.50/446,154 = 446,154/x
  3. Step 3: Cross multiply
    204,487.50x = 446,154 × 446,154
  4. Step 4: Simplify right side
    204,487.50x = 199,053,391,716
  5. Step 5: Solve for x
    x = 199,053,391,716/204,487.50
  6. Step 6: Final answer
    x = 973,425.72

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.