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Finding the Third Proportional to 151,413 and 327,905.50

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Solution

The third proportional to 151,413 and 327,905.50 is: 710,124.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,413 : 327,905.50 = 327,905.50 : x
  2. Step 2: Convert to fraction form
    151,413/327,905.50 = 327,905.50/x
  3. Step 3: Cross multiply
    151,413x = 327,905.50 × 327,905.50
  4. Step 4: Simplify right side
    151,413x = 107,522,016,930.25
  5. Step 5: Solve for x
    x = 107,522,016,930.25/151,413
  6. Step 6: Final answer
    x = 710,124.08

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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.