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Finding the Third Proportional to 238,166 and 328,083

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Solution

The third proportional to 238,166 and 328,083 is: 451,947.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,166 : 328,083 = 328,083 : x
  2. Step 2: Convert to fraction form
    238,166/328,083 = 328,083/x
  3. Step 3: Cross multiply
    238,166x = 328,083 × 328,083
  4. Step 4: Simplify right side
    238,166x = 107,638,454,889
  5. Step 5: Solve for x
    x = 107,638,454,889/238,166
  6. Step 6: Final answer
    x = 451,947.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.