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Finding the Third Proportional to 195,637.50 and 297,563.63

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Solution

The third proportional to 195,637.50 and 297,563.63 is: 452,592.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,637.50 : 297,563.63 = 297,563.63 : x
  2. Step 2: Convert to fraction form
    195,637.50/297,563.63 = 297,563.63/x
  3. Step 3: Cross multiply
    195,637.50x = 297,563.63 × 297,563.63
  4. Step 4: Simplify right side
    195,637.50x = 88,544,110,923.14
  5. Step 5: Solve for x
    x = 88,544,110,923.14/195,637.50
  6. Step 6: Final answer
    x = 452,592.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.