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Finding the Third Proportional to 238,501 and 322,759.50

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Solution

The third proportional to 238,501 and 322,759.50 is: 436,785.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,501 : 322,759.50 = 322,759.50 : x
  2. Step 2: Convert to fraction form
    238,501/322,759.50 = 322,759.50/x
  3. Step 3: Cross multiply
    238,501x = 322,759.50 × 322,759.50
  4. Step 4: Simplify right side
    238,501x = 104,173,694,840.25
  5. Step 5: Solve for x
    x = 104,173,694,840.25/238,501
  6. Step 6: Final answer
    x = 436,785.15

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.