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Finding the Third Proportional to 122,904 and 296,892

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Solution

The third proportional to 122,904 and 296,892 is: 717,184.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,904 : 296,892 = 296,892 : x
  2. Step 2: Convert to fraction form
    122,904/296,892 = 296,892/x
  3. Step 3: Cross multiply
    122,904x = 296,892 × 296,892
  4. Step 4: Simplify right side
    122,904x = 88,144,859,664
  5. Step 5: Solve for x
    x = 88,144,859,664/122,904
  6. Step 6: Final answer
    x = 717,184.63

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.