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Finding the Third Proportional to 159,682.50 and 348,754.50

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Solution

The third proportional to 159,682.50 and 348,754.50 is: 761,697.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,682.50 : 348,754.50 = 348,754.50 : x
  2. Step 2: Convert to fraction form
    159,682.50/348,754.50 = 348,754.50/x
  3. Step 3: Cross multiply
    159,682.50x = 348,754.50 × 348,754.50
  4. Step 4: Simplify right side
    159,682.50x = 121,629,701,270.25
  5. Step 5: Solve for x
    x = 121,629,701,270.25/159,682.50
  6. Step 6: Final answer
    x = 761,697.13

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.