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Finding the Third Proportional to 238,506.75 and 322,768.13

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Solution

The third proportional to 238,506.75 and 322,768.13 is: 436,797.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,506.75 : 322,768.13 = 322,768.13 : x
  2. Step 2: Convert to fraction form
    238,506.75/322,768.13 = 322,768.13/x
  3. Step 3: Cross multiply
    238,506.75x = 322,768.13 × 322,768.13
  4. Step 4: Simplify right side
    238,506.75x = 104,179,262,516.02
  5. Step 5: Solve for x
    x = 104,179,262,516.02/238,506.75
  6. Step 6: Final answer
    x = 436,797.96

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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.