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Finding the Third Proportional to 269,805.94 and 389,792.25

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Solution

The third proportional to 269,805.94 and 389,792.25 is: 563,138.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,805.94 : 389,792.25 = 389,792.25 : x
  2. Step 2: Convert to fraction form
    269,805.94/389,792.25 = 389,792.25/x
  3. Step 3: Cross multiply
    269,805.94x = 389,792.25 × 389,792.25
  4. Step 4: Simplify right side
    269,805.94x = 151,937,998,160.06
  5. Step 5: Solve for x
    x = 151,937,998,160.06/269,805.94
  6. Step 6: Final answer
    x = 563,138.08

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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.