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Finding the Third Proportional to 110,357 and 170,844

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Solution

The third proportional to 110,357 and 170,844 is: 264,484.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,357 : 170,844 = 170,844 : x
  2. Step 2: Convert to fraction form
    110,357/170,844 = 170,844/x
  3. Step 3: Cross multiply
    110,357x = 170,844 × 170,844
  4. Step 4: Simplify right side
    110,357x = 29,187,672,336
  5. Step 5: Solve for x
    x = 29,187,672,336/110,357
  6. Step 6: Final answer
    x = 264,484.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.