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Finding the Third Proportional to 248,181 and 538,347

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Solution

The third proportional to 248,181 and 538,347 is: 1,167,766.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,181 : 538,347 = 538,347 : x
  2. Step 2: Convert to fraction form
    248,181/538,347 = 538,347/x
  3. Step 3: Cross multiply
    248,181x = 538,347 × 538,347
  4. Step 4: Simplify right side
    248,181x = 289,817,492,409
  5. Step 5: Solve for x
    x = 289,817,492,409/248,181
  6. Step 6: Final answer
    x = 1,167,766.64

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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.