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Finding the Third Proportional to 114,444 and 248,591

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Solution

The third proportional to 114,444 and 248,591 is: 539,980.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,444 : 248,591 = 248,591 : x
  2. Step 2: Convert to fraction form
    114,444/248,591 = 248,591/x
  3. Step 3: Cross multiply
    114,444x = 248,591 × 248,591
  4. Step 4: Simplify right side
    114,444x = 61,797,485,281
  5. Step 5: Solve for x
    x = 61,797,485,281/114,444
  6. Step 6: Final answer
    x = 539,980.12

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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.