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Finding the Third Proportional to 201,562.50 and 304,923

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Solution

The third proportional to 201,562.50 and 304,923 is: 461,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,562.50 : 304,923 = 304,923 : x
  2. Step 2: Convert to fraction form
    201,562.50/304,923 = 304,923/x
  3. Step 3: Cross multiply
    201,562.50x = 304,923 × 304,923
  4. Step 4: Simplify right side
    201,562.50x = 92,978,035,929
  5. Step 5: Solve for x
    x = 92,978,035,929/201,562.50
  6. Step 6: Final answer
    x = 461,286.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.