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Finding the Third Proportional to 193,907.50 and 297,949.50

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Solution

The third proportional to 193,907.50 and 297,949.50 is: 457,815.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,907.50 : 297,949.50 = 297,949.50 : x
  2. Step 2: Convert to fraction form
    193,907.50/297,949.50 = 297,949.50/x
  3. Step 3: Cross multiply
    193,907.50x = 297,949.50 × 297,949.50
  4. Step 4: Simplify right side
    193,907.50x = 88,773,904,550.25
  5. Step 5: Solve for x
    x = 88,773,904,550.25/193,907.50
  6. Step 6: Final answer
    x = 457,815.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.