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Finding the Third Proportional to 201,758.50 and 442,700

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Solution

The third proportional to 201,758.50 and 442,700 is: 971,375.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,758.50 : 442,700 = 442,700 : x
  2. Step 2: Convert to fraction form
    201,758.50/442,700 = 442,700/x
  3. Step 3: Cross multiply
    201,758.50x = 442,700 × 442,700
  4. Step 4: Simplify right side
    201,758.50x = 195,983,290,000
  5. Step 5: Solve for x
    x = 195,983,290,000/201,758.50
  6. Step 6: Final answer
    x = 971,375.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.