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Finding the Third Proportional to 238,122 and 324,277

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Solution

The third proportional to 238,122 and 324,277 is: 441,603.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,122 : 324,277 = 324,277 : x
  2. Step 2: Convert to fraction form
    238,122/324,277 = 324,277/x
  3. Step 3: Cross multiply
    238,122x = 324,277 × 324,277
  4. Step 4: Simplify right side
    238,122x = 105,155,572,729
  5. Step 5: Solve for x
    x = 105,155,572,729/238,122
  6. Step 6: Final answer
    x = 441,603.77

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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.