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Finding the Third Proportional to 201,890.25 and 274,303.13

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Solution

The third proportional to 201,890.25 and 274,303.13 is: 372,688.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,890.25 : 274,303.13 = 274,303.13 : x
  2. Step 2: Convert to fraction form
    201,890.25/274,303.13 = 274,303.13/x
  3. Step 3: Cross multiply
    201,890.25x = 274,303.13 × 274,303.13
  4. Step 4: Simplify right side
    201,890.25x = 75,242,204,384.77
  5. Step 5: Solve for x
    x = 75,242,204,384.77/201,890.25
  6. Step 6: Final answer
    x = 372,688.65

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.