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Finding the Third Proportional to 159,232.50 and 347,998.50

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Solution

The third proportional to 159,232.50 and 347,998.50 is: 760,541.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,232.50 : 347,998.50 = 347,998.50 : x
  2. Step 2: Convert to fraction form
    159,232.50/347,998.50 = 347,998.50/x
  3. Step 3: Cross multiply
    159,232.50x = 347,998.50 × 347,998.50
  4. Step 4: Simplify right side
    159,232.50x = 121,102,956,002.25
  5. Step 5: Solve for x
    x = 121,102,956,002.25/159,232.50
  6. Step 6: Final answer
    x = 760,541.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.