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Finding the Third Proportional to 241,648 and 355,344

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Solution

The third proportional to 241,648 and 355,344 is: 522,534.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,648 : 355,344 = 355,344 : x
  2. Step 2: Convert to fraction form
    241,648/355,344 = 355,344/x
  3. Step 3: Cross multiply
    241,648x = 355,344 × 355,344
  4. Step 4: Simplify right side
    241,648x = 126,269,358,336
  5. Step 5: Solve for x
    x = 126,269,358,336/241,648
  6. Step 6: Final answer
    x = 522,534.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.