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Finding the Third Proportional to 238,728 and 323,076

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Solution

The third proportional to 238,728 and 323,076 is: 437,226.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,728 : 323,076 = 323,076 : x
  2. Step 2: Convert to fraction form
    238,728/323,076 = 323,076/x
  3. Step 3: Cross multiply
    238,728x = 323,076 × 323,076
  4. Step 4: Simplify right side
    238,728x = 104,378,101,776
  5. Step 5: Solve for x
    x = 104,378,101,776/238,728
  6. Step 6: Final answer
    x = 437,226.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.