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Finding the Third Proportional to 156,696 and 235,391

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Solution

The third proportional to 156,696 and 235,391 is: 353,607.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,696 : 235,391 = 235,391 : x
  2. Step 2: Convert to fraction form
    156,696/235,391 = 235,391/x
  3. Step 3: Cross multiply
    156,696x = 235,391 × 235,391
  4. Step 4: Simplify right side
    156,696x = 55,408,922,881
  5. Step 5: Solve for x
    x = 55,408,922,881/156,696
  6. Step 6: Final answer
    x = 353,607.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.