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Finding the Third Proportional to 201,530.25 and 304,563.38

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Solution

The third proportional to 201,530.25 and 304,563.38 is: 460,272.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,530.25 : 304,563.38 = 304,563.38 : x
  2. Step 2: Convert to fraction form
    201,530.25/304,563.38 = 304,563.38/x
  3. Step 3: Cross multiply
    201,530.25x = 304,563.38 × 304,563.38
  4. Step 4: Simplify right side
    201,530.25x = 92,758,849,391.39
  5. Step 5: Solve for x
    x = 92,758,849,391.39/201,530.25
  6. Step 6: Final answer
    x = 460,272.59

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