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Finding the Third Proportional to 263,197.50 and 375,113.25

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Solution

The third proportional to 263,197.50 and 375,113.25 is: 534,617.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,197.50 : 375,113.25 = 375,113.25 : x
  2. Step 2: Convert to fraction form
    263,197.50/375,113.25 = 375,113.25/x
  3. Step 3: Cross multiply
    263,197.50x = 375,113.25 × 375,113.25
  4. Step 4: Simplify right side
    263,197.50x = 140,709,950,325.56
  5. Step 5: Solve for x
    x = 140,709,950,325.56/263,197.50
  6. Step 6: Final answer
    x = 534,617.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.