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Finding the Third Proportional to 201,465.98 and 273,773.67

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Solution

The third proportional to 201,465.98 and 273,773.67 is: 372,033.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,465.98 : 273,773.67 = 273,773.67 : x
  2. Step 2: Convert to fraction form
    201,465.98/273,773.67 = 273,773.67/x
  3. Step 3: Cross multiply
    201,465.98x = 273,773.67 × 273,773.67
  4. Step 4: Simplify right side
    201,465.98x = 74,952,023,411.92
  5. Step 5: Solve for x
    x = 74,952,023,411.92/201,465.98
  6. Step 6: Final answer
    x = 372,033.14

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Why These Related Problems?

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