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Finding the Third Proportional to 110,709 and 235,917

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Solution

The third proportional to 110,709 and 235,917 is: 502,730.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,709 : 235,917 = 235,917 : x
  2. Step 2: Convert to fraction form
    110,709/235,917 = 235,917/x
  3. Step 3: Cross multiply
    110,709x = 235,917 × 235,917
  4. Step 4: Simplify right side
    110,709x = 55,656,830,889
  5. Step 5: Solve for x
    x = 55,656,830,889/110,709
  6. Step 6: Final answer
    x = 502,730.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.