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Finding the Third Proportional to 238,718 and 323,061

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Solution

The third proportional to 238,718 and 323,061 is: 437,203.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,718 : 323,061 = 323,061 : x
  2. Step 2: Convert to fraction form
    238,718/323,061 = 323,061/x
  3. Step 3: Cross multiply
    238,718x = 323,061 × 323,061
  4. Step 4: Simplify right side
    238,718x = 104,368,409,721
  5. Step 5: Solve for x
    x = 104,368,409,721/238,718
  6. Step 6: Final answer
    x = 437,203.77

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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.