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Finding the Third Proportional to 204,859.13 and 435,142.13

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Solution

The third proportional to 204,859.13 and 435,142.13 is: 924,287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,859.13 : 435,142.13 = 435,142.13 : x
  2. Step 2: Convert to fraction form
    204,859.13/435,142.13 = 435,142.13/x
  3. Step 3: Cross multiply
    204,859.13x = 435,142.13 × 435,142.13
  4. Step 4: Simplify right side
    204,859.13x = 189,348,668,949.52
  5. Step 5: Solve for x
    x = 189,348,668,949.52/204,859.13
  6. Step 6: Final answer
    x = 924,287.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.