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Finding the Third Proportional to 202,154 and 313,895

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Solution

The third proportional to 202,154 and 313,895 is: 487,401.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,154 : 313,895 = 313,895 : x
  2. Step 2: Convert to fraction form
    202,154/313,895 = 313,895/x
  3. Step 3: Cross multiply
    202,154x = 313,895 × 313,895
  4. Step 4: Simplify right side
    202,154x = 98,530,071,025
  5. Step 5: Solve for x
    x = 98,530,071,025/202,154
  6. Step 6: Final answer
    x = 487,401.05

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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.