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Finding the Third Proportional to 200,772 and 301,158

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Solution

The third proportional to 200,772 and 301,158 is: 451,737

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,772 : 301,158 = 301,158 : x
  2. Step 2: Convert to fraction form
    200,772/301,158 = 301,158/x
  3. Step 3: Cross multiply
    200,772x = 301,158 × 301,158
  4. Step 4: Simplify right side
    200,772x = 90,696,140,964
  5. Step 5: Solve for x
    x = 90,696,140,964/200,772
  6. Step 6: Final answer
    x = 451,737

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.