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Finding the Third Proportional to 241,542 and 348,381

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Solution

The third proportional to 241,542 and 348,381 is: 502,477.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,542 : 348,381 = 348,381 : x
  2. Step 2: Convert to fraction form
    241,542/348,381 = 348,381/x
  3. Step 3: Cross multiply
    241,542x = 348,381 × 348,381
  4. Step 4: Simplify right side
    241,542x = 121,369,321,161
  5. Step 5: Solve for x
    x = 121,369,321,161/241,542
  6. Step 6: Final answer
    x = 502,477.09

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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.