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Finding the Third Proportional to 201,538.13 and 304,575.19

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Solution

The third proportional to 201,538.13 and 304,575.19 is: 460,290.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,538.13 : 304,575.19 = 304,575.19 : x
  2. Step 2: Convert to fraction form
    201,538.13/304,575.19 = 304,575.19/x
  3. Step 3: Cross multiply
    201,538.13x = 304,575.19 × 304,575.19
  4. Step 4: Simplify right side
    201,538.13x = 92,766,044,840.66
  5. Step 5: Solve for x
    x = 92,766,044,840.66/201,538.13
  6. Step 6: Final answer
    x = 460,290.30

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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.