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Finding the Third Proportional to 140,904 and 293,472

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Solution

The third proportional to 140,904 and 293,472 is: 611,237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,904 : 293,472 = 293,472 : x
  2. Step 2: Convert to fraction form
    140,904/293,472 = 293,472/x
  3. Step 3: Cross multiply
    140,904x = 293,472 × 293,472
  4. Step 4: Simplify right side
    140,904x = 86,125,814,784
  5. Step 5: Solve for x
    x = 86,125,814,784/140,904
  6. Step 6: Final answer
    x = 611,237.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.