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Finding the Third Proportional to 232,824 and 344,868

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Solution

The third proportional to 232,824 and 344,868 is: 510,831.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,824 : 344,868 = 344,868 : x
  2. Step 2: Convert to fraction form
    232,824/344,868 = 344,868/x
  3. Step 3: Cross multiply
    232,824x = 344,868 × 344,868
  4. Step 4: Simplify right side
    232,824x = 118,933,937,424
  5. Step 5: Solve for x
    x = 118,933,937,424/232,824
  6. Step 6: Final answer
    x = 510,831.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.