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Finding the Third Proportional to 122,247 and 265,230

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Solution

The third proportional to 122,247 and 265,230 is: 575,449.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,247 : 265,230 = 265,230 : x
  2. Step 2: Convert to fraction form
    122,247/265,230 = 265,230/x
  3. Step 3: Cross multiply
    122,247x = 265,230 × 265,230
  4. Step 4: Simplify right side
    122,247x = 70,346,952,900
  5. Step 5: Solve for x
    x = 70,346,952,900/122,247
  6. Step 6: Final answer
    x = 575,449.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.