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Finding the Third Proportional to 238,344 and 368,700

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Solution

The third proportional to 238,344 and 368,700 is: 570,350.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,344 : 368,700 = 368,700 : x
  2. Step 2: Convert to fraction form
    238,344/368,700 = 368,700/x
  3. Step 3: Cross multiply
    238,344x = 368,700 × 368,700
  4. Step 4: Simplify right side
    238,344x = 135,939,690,000
  5. Step 5: Solve for x
    x = 135,939,690,000/238,344
  6. Step 6: Final answer
    x = 570,350.80

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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.