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Finding the Third Proportional to 182,305 and 279,841.50

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Solution

The third proportional to 182,305 and 279,841.50 is: 429,561.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,305 : 279,841.50 = 279,841.50 : x
  2. Step 2: Convert to fraction form
    182,305/279,841.50 = 279,841.50/x
  3. Step 3: Cross multiply
    182,305x = 279,841.50 × 279,841.50
  4. Step 4: Simplify right side
    182,305x = 78,311,265,122.25
  5. Step 5: Solve for x
    x = 78,311,265,122.25/182,305
  6. Step 6: Final answer
    x = 429,561.81

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.