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Finding the Third Proportional to 202,878 and 315,392

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Solution

The third proportional to 202,878 and 315,392 is: 490,305.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,878 : 315,392 = 315,392 : x
  2. Step 2: Convert to fraction form
    202,878/315,392 = 315,392/x
  3. Step 3: Cross multiply
    202,878x = 315,392 × 315,392
  4. Step 4: Simplify right side
    202,878x = 99,472,113,664
  5. Step 5: Solve for x
    x = 99,472,113,664/202,878
  6. Step 6: Final answer
    x = 490,305.08

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