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Finding the Third Proportional to 202,081 and 336,784

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Solution

The third proportional to 202,081 and 336,784 is: 561,277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,081 : 336,784 = 336,784 : x
  2. Step 2: Convert to fraction form
    202,081/336,784 = 336,784/x
  3. Step 3: Cross multiply
    202,081x = 336,784 × 336,784
  4. Step 4: Simplify right side
    202,081x = 113,423,462,656
  5. Step 5: Solve for x
    x = 113,423,462,656/202,081
  6. Step 6: Final answer
    x = 561,277.22

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