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Finding the Third Proportional to 201,320.44 and 438,066.56

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Solution

The third proportional to 201,320.44 and 438,066.56 is: 953,218.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,320.44 : 438,066.56 = 438,066.56 : x
  2. Step 2: Convert to fraction form
    201,320.44/438,066.56 = 438,066.56/x
  3. Step 3: Cross multiply
    201,320.44x = 438,066.56 × 438,066.56
  4. Step 4: Simplify right side
    201,320.44x = 191,902,313,180.57
  5. Step 5: Solve for x
    x = 191,902,313,180.57/201,320.44
  6. Step 6: Final answer
    x = 953,218.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.