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Finding the Third Proportional to 173,604.75 and 368,539.50

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Solution

The third proportional to 173,604.75 and 368,539.50 is: 782,359.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,604.75 : 368,539.50 = 368,539.50 : x
  2. Step 2: Convert to fraction form
    173,604.75/368,539.50 = 368,539.50/x
  3. Step 3: Cross multiply
    173,604.75x = 368,539.50 × 368,539.50
  4. Step 4: Simplify right side
    173,604.75x = 135,821,363,060.25
  5. Step 5: Solve for x
    x = 135,821,363,060.25/173,604.75
  6. Step 6: Final answer
    x = 782,359.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.