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Finding the Third Proportional to 202,684.50 and 313,860.38

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Solution

The third proportional to 202,684.50 and 313,860.38 is: 486,018.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,684.50 : 313,860.38 = 313,860.38 : x
  2. Step 2: Convert to fraction form
    202,684.50/313,860.38 = 313,860.38/x
  3. Step 3: Cross multiply
    202,684.50x = 313,860.38 × 313,860.38
  4. Step 4: Simplify right side
    202,684.50x = 98,508,334,995.14
  5. Step 5: Solve for x
    x = 98,508,334,995.14/202,684.50
  6. Step 6: Final answer
    x = 486,018.10

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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.