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Finding the Third Proportional to 201,926.25 and 437,283.56

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Solution

The third proportional to 201,926.25 and 437,283.56 is: 946,964.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,926.25 : 437,283.56 = 437,283.56 : x
  2. Step 2: Convert to fraction form
    201,926.25/437,283.56 = 437,283.56/x
  3. Step 3: Cross multiply
    201,926.25x = 437,283.56 × 437,283.56
  4. Step 4: Simplify right side
    201,926.25x = 191,216,914,032.69
  5. Step 5: Solve for x
    x = 191,216,914,032.69/201,926.25
  6. Step 6: Final answer
    x = 946,964.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.