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Finding the Third Proportional to 150,931 and 204,254

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Solution

The third proportional to 150,931 and 204,254 is: 276,415.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,931 : 204,254 = 204,254 : x
  2. Step 2: Convert to fraction form
    150,931/204,254 = 204,254/x
  3. Step 3: Cross multiply
    150,931x = 204,254 × 204,254
  4. Step 4: Simplify right side
    150,931x = 41,719,696,516
  5. Step 5: Solve for x
    x = 41,719,696,516/150,931
  6. Step 6: Final answer
    x = 276,415.69

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.