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Finding the Third Proportional to 109,398 and 164,433

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Solution

The third proportional to 109,398 and 164,433 is: 247,154.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,398 : 164,433 = 164,433 : x
  2. Step 2: Convert to fraction form
    109,398/164,433 = 164,433/x
  3. Step 3: Cross multiply
    109,398x = 164,433 × 164,433
  4. Step 4: Simplify right side
    109,398x = 27,038,211,489
  5. Step 5: Solve for x
    x = 27,038,211,489/109,398
  6. Step 6: Final answer
    x = 247,154.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.