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Finding the Third Proportional to 161,733 and 350,956.50

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Solution

The third proportional to 161,733 and 350,956.50 is: 761,566.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,733 : 350,956.50 = 350,956.50 : x
  2. Step 2: Convert to fraction form
    161,733/350,956.50 = 350,956.50/x
  3. Step 3: Cross multiply
    161,733x = 350,956.50 × 350,956.50
  4. Step 4: Simplify right side
    161,733x = 123,170,464,892.25
  5. Step 5: Solve for x
    x = 123,170,464,892.25/161,733
  6. Step 6: Final answer
    x = 761,566.69

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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.