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Finding the Third Proportional to 240,448 and 346,344

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Solution

The third proportional to 240,448 and 346,344 is: 498,877.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,448 : 346,344 = 346,344 : x
  2. Step 2: Convert to fraction form
    240,448/346,344 = 346,344/x
  3. Step 3: Cross multiply
    240,448x = 346,344 × 346,344
  4. Step 4: Simplify right side
    240,448x = 119,954,166,336
  5. Step 5: Solve for x
    x = 119,954,166,336/240,448
  6. Step 6: Final answer
    x = 498,877.79

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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.