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Finding the Third Proportional to 202,066.84 and 336,763.83

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Solution

The third proportional to 202,066.84 and 336,763.83 is: 561,249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,066.84 : 336,763.83 = 336,763.83 : x
  2. Step 2: Convert to fraction form
    202,066.84/336,763.83 = 336,763.83/x
  3. Step 3: Cross multiply
    202,066.84x = 336,763.83 × 336,763.83
  4. Step 4: Simplify right side
    202,066.84x = 113,409,875,933.41
  5. Step 5: Solve for x
    x = 113,409,875,933.41/202,066.84
  6. Step 6: Final answer
    x = 561,249.32

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.