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Finding the Third Proportional to 240,867 and 346,410

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Solution

The third proportional to 240,867 and 346,410 is: 498,199.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,867 : 346,410 = 346,410 : x
  2. Step 2: Convert to fraction form
    240,867/346,410 = 346,410/x
  3. Step 3: Cross multiply
    240,867x = 346,410 × 346,410
  4. Step 4: Simplify right side
    240,867x = 119,999,888,100
  5. Step 5: Solve for x
    x = 119,999,888,100/240,867
  6. Step 6: Final answer
    x = 498,199.79

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.