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Finding the Third Proportional to 241,944 and 354,468

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Solution

The third proportional to 241,944 and 354,468 is: 519,324.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,944 : 354,468 = 354,468 : x
  2. Step 2: Convert to fraction form
    241,944/354,468 = 354,468/x
  3. Step 3: Cross multiply
    241,944x = 354,468 × 354,468
  4. Step 4: Simplify right side
    241,944x = 125,647,563,024
  5. Step 5: Solve for x
    x = 125,647,563,024/241,944
  6. Step 6: Final answer
    x = 519,324.98

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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.