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Finding the Third Proportional to 181,618.88 and 283,466.25

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Solution

The third proportional to 181,618.88 and 283,466.25 is: 442,427.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,618.88 : 283,466.25 = 283,466.25 : x
  2. Step 2: Convert to fraction form
    181,618.88/283,466.25 = 283,466.25/x
  3. Step 3: Cross multiply
    181,618.88x = 283,466.25 × 283,466.25
  4. Step 4: Simplify right side
    181,618.88x = 80,353,114,889.06
  5. Step 5: Solve for x
    x = 80,353,114,889.06/181,618.88
  6. Step 6: Final answer
    x = 442,427.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.