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Finding the Third Proportional to 269,815.50 and 389,805.75

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Solution

The third proportional to 269,815.50 and 389,805.75 is: 563,157.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,815.50 : 389,805.75 = 389,805.75 : x
  2. Step 2: Convert to fraction form
    269,815.50/389,805.75 = 389,805.75/x
  3. Step 3: Cross multiply
    269,815.50x = 389,805.75 × 389,805.75
  4. Step 4: Simplify right side
    269,815.50x = 151,948,522,733.06
  5. Step 5: Solve for x
    x = 151,948,522,733.06/269,815.50
  6. Step 6: Final answer
    x = 563,157.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.