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Finding the Third Proportional to 248,700 and 541,536

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Solution

The third proportional to 248,700 and 541,536 is: 1,179,176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,700 : 541,536 = 541,536 : x
  2. Step 2: Convert to fraction form
    248,700/541,536 = 541,536/x
  3. Step 3: Cross multiply
    248,700x = 541,536 × 541,536
  4. Step 4: Simplify right side
    248,700x = 293,261,239,296
  5. Step 5: Solve for x
    x = 293,261,239,296/248,700
  6. Step 6: Final answer
    x = 1,179,176.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.