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Finding the Third Proportional to 182,118 and 285,055.50

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Solution

The third proportional to 182,118 and 285,055.50 is: 446,175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,118 : 285,055.50 = 285,055.50 : x
  2. Step 2: Convert to fraction form
    182,118/285,055.50 = 285,055.50/x
  3. Step 3: Cross multiply
    182,118x = 285,055.50 × 285,055.50
  4. Step 4: Simplify right side
    182,118x = 81,256,638,080.25
  5. Step 5: Solve for x
    x = 81,256,638,080.25/182,118
  6. Step 6: Final answer
    x = 446,175.77

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.