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Finding the Third Proportional to 151,411.50 and 327,910.50

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Solution

The third proportional to 151,411.50 and 327,910.50 is: 710,152.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,411.50 : 327,910.50 = 327,910.50 : x
  2. Step 2: Convert to fraction form
    151,411.50/327,910.50 = 327,910.50/x
  3. Step 3: Cross multiply
    151,411.50x = 327,910.50 × 327,910.50
  4. Step 4: Simplify right side
    151,411.50x = 107,525,296,010.25
  5. Step 5: Solve for x
    x = 107,525,296,010.25/151,411.50
  6. Step 6: Final answer
    x = 710,152.77

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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.