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Finding the Third Proportional to 110,972 and 239,673

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Solution

The third proportional to 110,972 and 239,673 is: 517,636.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,972 : 239,673 = 239,673 : x
  2. Step 2: Convert to fraction form
    110,972/239,673 = 239,673/x
  3. Step 3: Cross multiply
    110,972x = 239,673 × 239,673
  4. Step 4: Simplify right side
    110,972x = 57,443,146,929
  5. Step 5: Solve for x
    x = 57,443,146,929/110,972
  6. Step 6: Final answer
    x = 517,636.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.