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Finding the Third Proportional to 248,178 and 538,344

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Solution

The third proportional to 248,178 and 538,344 is: 1,167,767.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,178 : 538,344 = 538,344 : x
  2. Step 2: Convert to fraction form
    248,178/538,344 = 538,344/x
  3. Step 3: Cross multiply
    248,178x = 538,344 × 538,344
  4. Step 4: Simplify right side
    248,178x = 289,814,262,336
  5. Step 5: Solve for x
    x = 289,814,262,336/248,178
  6. Step 6: Final answer
    x = 1,167,767.74

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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.