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Finding the Third Proportional to 110,697 and 237,521

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Solution

The third proportional to 110,697 and 237,521 is: 509,645.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,697 : 237,521 = 237,521 : x
  2. Step 2: Convert to fraction form
    110,697/237,521 = 237,521/x
  3. Step 3: Cross multiply
    110,697x = 237,521 × 237,521
  4. Step 4: Simplify right side
    110,697x = 56,416,225,441
  5. Step 5: Solve for x
    x = 56,416,225,441/110,697
  6. Step 6: Final answer
    x = 509,645.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.