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Finding the Third Proportional to 248,167 and 538,321

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Solution

The third proportional to 248,167 and 538,321 is: 1,167,719.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,167 : 538,321 = 538,321 : x
  2. Step 2: Convert to fraction form
    248,167/538,321 = 538,321/x
  3. Step 3: Cross multiply
    248,167x = 538,321 × 538,321
  4. Step 4: Simplify right side
    248,167x = 289,789,499,041
  5. Step 5: Solve for x
    x = 289,789,499,041/248,167
  6. Step 6: Final answer
    x = 1,167,719.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.