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Finding the Third Proportional to 204,792.19 and 320,563.13

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Solution

The third proportional to 204,792.19 and 320,563.13 is: 501,780.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,792.19 : 320,563.13 = 320,563.13 : x
  2. Step 2: Convert to fraction form
    204,792.19/320,563.13 = 320,563.13/x
  3. Step 3: Cross multiply
    204,792.19x = 320,563.13 × 320,563.13
  4. Step 4: Simplify right side
    204,792.19x = 102,760,717,109.77
  5. Step 5: Solve for x
    x = 102,760,717,109.77/204,792.19
  6. Step 6: Final answer
    x = 501,780.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.