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Finding the Third Proportional to 104,498 and 156,503.50

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Solution

The third proportional to 104,498 and 156,503.50 is: 234,390.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,498 : 156,503.50 = 156,503.50 : x
  2. Step 2: Convert to fraction form
    104,498/156,503.50 = 156,503.50/x
  3. Step 3: Cross multiply
    104,498x = 156,503.50 × 156,503.50
  4. Step 4: Simplify right side
    104,498x = 24,493,345,512.25
  5. Step 5: Solve for x
    x = 24,493,345,512.25/104,498
  6. Step 6: Final answer
    x = 234,390.57

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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.