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Finding the Third Proportional to 200,925.75 and 272,883.38

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Solution

The third proportional to 200,925.75 and 272,883.38 is: 370,611.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,925.75 : 272,883.38 = 272,883.38 : x
  2. Step 2: Convert to fraction form
    200,925.75/272,883.38 = 272,883.38/x
  3. Step 3: Cross multiply
    200,925.75x = 272,883.38 × 272,883.38
  4. Step 4: Simplify right side
    200,925.75x = 74,465,336,351.39
  5. Step 5: Solve for x
    x = 74,465,336,351.39/200,925.75
  6. Step 6: Final answer
    x = 370,611.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.