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Finding the Third Proportional to 238,610 and 322,899

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Solution

The third proportional to 238,610 and 322,899 is: 436,963.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,610 : 322,899 = 322,899 : x
  2. Step 2: Convert to fraction form
    238,610/322,899 = 322,899/x
  3. Step 3: Cross multiply
    238,610x = 322,899 × 322,899
  4. Step 4: Simplify right side
    238,610x = 104,263,764,201
  5. Step 5: Solve for x
    x = 104,263,764,201/238,610
  6. Step 6: Final answer
    x = 436,963.10

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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.