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Finding the Third Proportional to 110,957 and 242,673

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Solution

The third proportional to 110,957 and 242,673 is: 530,747.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,957 : 242,673 = 242,673 : x
  2. Step 2: Convert to fraction form
    110,957/242,673 = 242,673/x
  3. Step 3: Cross multiply
    110,957x = 242,673 × 242,673
  4. Step 4: Simplify right side
    110,957x = 58,890,184,929
  5. Step 5: Solve for x
    x = 58,890,184,929/110,957
  6. Step 6: Final answer
    x = 530,747.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.