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Finding the Third Proportional to 156,795 and 305,706

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Solution

The third proportional to 156,795 and 305,706 is: 596,040.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,795 : 305,706 = 305,706 : x
  2. Step 2: Convert to fraction form
    156,795/305,706 = 305,706/x
  3. Step 3: Cross multiply
    156,795x = 305,706 × 305,706
  4. Step 4: Simplify right side
    156,795x = 93,456,158,436
  5. Step 5: Solve for x
    x = 93,456,158,436/156,795
  6. Step 6: Final answer
    x = 596,040.42

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.