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Finding the Third Proportional to 161,862 and 241,819.50

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Solution

The third proportional to 161,862 and 241,819.50 is: 361,274.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,862 : 241,819.50 = 241,819.50 : x
  2. Step 2: Convert to fraction form
    161,862/241,819.50 = 241,819.50/x
  3. Step 3: Cross multiply
    161,862x = 241,819.50 × 241,819.50
  4. Step 4: Simplify right side
    161,862x = 58,476,670,580.25
  5. Step 5: Solve for x
    x = 58,476,670,580.25/161,862
  6. Step 6: Final answer
    x = 361,274.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.