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Finding the Third Proportional to 202,993 and 286,034

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Solution

The third proportional to 202,993 and 286,034 is: 403,045.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,993 : 286,034 = 286,034 : x
  2. Step 2: Convert to fraction form
    202,993/286,034 = 286,034/x
  3. Step 3: Cross multiply
    202,993x = 286,034 × 286,034
  4. Step 4: Simplify right side
    202,993x = 81,815,449,156
  5. Step 5: Solve for x
    x = 81,815,449,156/202,993
  6. Step 6: Final answer
    x = 403,045.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.