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Finding the Third Proportional to 114,743 and 248,548

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Solution

The third proportional to 114,743 and 248,548 is: 538,386.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,743 : 248,548 = 248,548 : x
  2. Step 2: Convert to fraction form
    114,743/248,548 = 248,548/x
  3. Step 3: Cross multiply
    114,743x = 248,548 × 248,548
  4. Step 4: Simplify right side
    114,743x = 61,776,108,304
  5. Step 5: Solve for x
    x = 61,776,108,304/114,743
  6. Step 6: Final answer
    x = 538,386.73

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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.