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Finding the Third Proportional to 241,800 and 355,324

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Solution

The third proportional to 241,800 and 355,324 is: 522,147.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,800 : 355,324 = 355,324 : x
  2. Step 2: Convert to fraction form
    241,800/355,324 = 355,324/x
  3. Step 3: Cross multiply
    241,800x = 355,324 × 355,324
  4. Step 4: Simplify right side
    241,800x = 126,255,144,976
  5. Step 5: Solve for x
    x = 126,255,144,976/241,800
  6. Step 6: Final answer
    x = 522,147.00

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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.