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Finding the Third Proportional to 85,296 and 182,928

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Solution

The third proportional to 85,296 and 182,928 is: 392,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,296 : 182,928 = 182,928 : x
  2. Step 2: Convert to fraction form
    85,296/182,928 = 182,928/x
  3. Step 3: Cross multiply
    85,296x = 182,928 × 182,928
  4. Step 4: Simplify right side
    85,296x = 33,462,653,184
  5. Step 5: Solve for x
    x = 33,462,653,184/85,296
  6. Step 6: Final answer
    x = 392,312.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.