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Finding the Third Proportional to 238,539 and 322,810.50

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Solution

The third proportional to 238,539 and 322,810.50 is: 436,853.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,539 : 322,810.50 = 322,810.50 : x
  2. Step 2: Convert to fraction form
    238,539/322,810.50 = 322,810.50/x
  3. Step 3: Cross multiply
    238,539x = 322,810.50 × 322,810.50
  4. Step 4: Simplify right side
    238,539x = 104,206,618,910.25
  5. Step 5: Solve for x
    x = 104,206,618,910.25/238,539
  6. Step 6: Final answer
    x = 436,853.59

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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.