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Finding the Third Proportional to 151,422 and 327,922.50

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Solution

The third proportional to 151,422 and 327,922.50 is: 710,155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,422 : 327,922.50 = 327,922.50 : x
  2. Step 2: Convert to fraction form
    151,422/327,922.50 = 327,922.50/x
  3. Step 3: Cross multiply
    151,422x = 327,922.50 × 327,922.50
  4. Step 4: Simplify right side
    151,422x = 107,533,166,006.25
  5. Step 5: Solve for x
    x = 107,533,166,006.25/151,422
  6. Step 6: Final answer
    x = 710,155.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.