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Finding the Third Proportional to 210,872 and 248,051

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Solution

The third proportional to 210,872 and 248,051 is: 291,785.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,872 : 248,051 = 248,051 : x
  2. Step 2: Convert to fraction form
    210,872/248,051 = 248,051/x
  3. Step 3: Cross multiply
    210,872x = 248,051 × 248,051
  4. Step 4: Simplify right side
    210,872x = 61,529,298,601
  5. Step 5: Solve for x
    x = 61,529,298,601/210,872
  6. Step 6: Final answer
    x = 291,785.06

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.