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Finding the Third Proportional to 238,144 and 368,414

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Solution

The third proportional to 238,144 and 368,414 is: 569,944.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,144 : 368,414 = 368,414 : x
  2. Step 2: Convert to fraction form
    238,144/368,414 = 368,414/x
  3. Step 3: Cross multiply
    238,144x = 368,414 × 368,414
  4. Step 4: Simplify right side
    238,144x = 135,728,875,396
  5. Step 5: Solve for x
    x = 135,728,875,396/238,144
  6. Step 6: Final answer
    x = 569,944.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.