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Finding the Third Proportional to 200,054.50 and 309,667

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Solution

The third proportional to 200,054.50 and 309,667 is: 479,337.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,054.50 : 309,667 = 309,667 : x
  2. Step 2: Convert to fraction form
    200,054.50/309,667 = 309,667/x
  3. Step 3: Cross multiply
    200,054.50x = 309,667 × 309,667
  4. Step 4: Simplify right side
    200,054.50x = 95,893,650,889
  5. Step 5: Solve for x
    x = 95,893,650,889/200,054.50
  6. Step 6: Final answer
    x = 479,337.63

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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.