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Finding the Third Proportional to 238,786 and 323,115

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Solution

The third proportional to 238,786 and 323,115 is: 437,225.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,786 : 323,115 = 323,115 : x
  2. Step 2: Convert to fraction form
    238,786/323,115 = 323,115/x
  3. Step 3: Cross multiply
    238,786x = 323,115 × 323,115
  4. Step 4: Simplify right side
    238,786x = 104,403,303,225
  5. Step 5: Solve for x
    x = 104,403,303,225/238,786
  6. Step 6: Final answer
    x = 437,225.40

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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.