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Finding the Third Proportional to 200,637 and 311,667.75

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Solution

The third proportional to 200,637 and 311,667.75 is: 484,141.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,637 : 311,667.75 = 311,667.75 : x
  2. Step 2: Convert to fraction form
    200,637/311,667.75 = 311,667.75/x
  3. Step 3: Cross multiply
    200,637x = 311,667.75 × 311,667.75
  4. Step 4: Simplify right side
    200,637x = 97,136,786,390.06
  5. Step 5: Solve for x
    x = 97,136,786,390.06/200,637
  6. Step 6: Final answer
    x = 484,141.94

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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.