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Finding the Third Proportional to 248,186 and 538,356

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Solution

The third proportional to 248,186 and 538,356 is: 1,167,782.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,186 : 538,356 = 538,356 : x
  2. Step 2: Convert to fraction form
    248,186/538,356 = 538,356/x
  3. Step 3: Cross multiply
    248,186x = 538,356 × 538,356
  4. Step 4: Simplify right side
    248,186x = 289,827,182,736
  5. Step 5: Solve for x
    x = 289,827,182,736/248,186
  6. Step 6: Final answer
    x = 1,167,782.16

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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.