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Finding the Third Proportional to 241,920 and 376,128

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Solution

The third proportional to 241,920 and 376,128 is: 584,789.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,920 : 376,128 = 376,128 : x
  2. Step 2: Convert to fraction form
    241,920/376,128 = 376,128/x
  3. Step 3: Cross multiply
    241,920x = 376,128 × 376,128
  4. Step 4: Simplify right side
    241,920x = 141,472,272,384
  5. Step 5: Solve for x
    x = 141,472,272,384/241,920
  6. Step 6: Final answer
    x = 584,789.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.