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Finding the Third Proportional to 202,921 and 315,431

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Solution

The third proportional to 202,921 and 315,431 is: 490,322.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,921 : 315,431 = 315,431 : x
  2. Step 2: Convert to fraction form
    202,921/315,431 = 315,431/x
  3. Step 3: Cross multiply
    202,921x = 315,431 × 315,431
  4. Step 4: Simplify right side
    202,921x = 99,496,715,761
  5. Step 5: Solve for x
    x = 99,496,715,761/202,921
  6. Step 6: Final answer
    x = 490,322.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.