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Finding the Third Proportional to 200,817.50 and 434,696

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Solution

The third proportional to 200,817.50 and 434,696 is: 940,956.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,817.50 : 434,696 = 434,696 : x
  2. Step 2: Convert to fraction form
    200,817.50/434,696 = 434,696/x
  3. Step 3: Cross multiply
    200,817.50x = 434,696 × 434,696
  4. Step 4: Simplify right side
    200,817.50x = 188,960,612,416
  5. Step 5: Solve for x
    x = 188,960,612,416/200,817.50
  6. Step 6: Final answer
    x = 940,956.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.