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Finding the Third Proportional to 97,278 and 150,233

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Solution

The third proportional to 97,278 and 150,233 is: 232,014.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,278 : 150,233 = 150,233 : x
  2. Step 2: Convert to fraction form
    97,278/150,233 = 150,233/x
  3. Step 3: Cross multiply
    97,278x = 150,233 × 150,233
  4. Step 4: Simplify right side
    97,278x = 22,569,954,289
  5. Step 5: Solve for x
    x = 22,569,954,289/97,278
  6. Step 6: Final answer
    x = 232,014.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.