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Finding the Third Proportional to 234,054 and 353,151

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Solution

The third proportional to 234,054 and 353,151 is: 532,849.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,054 : 353,151 = 353,151 : x
  2. Step 2: Convert to fraction form
    234,054/353,151 = 353,151/x
  3. Step 3: Cross multiply
    234,054x = 353,151 × 353,151
  4. Step 4: Simplify right side
    234,054x = 124,715,628,801
  5. Step 5: Solve for x
    x = 124,715,628,801/234,054
  6. Step 6: Final answer
    x = 532,849.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.