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Finding the Third Proportional to 149,293.13 and 226,308.94

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Solution

The third proportional to 149,293.13 and 226,308.94 is: 343,054.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,293.13 : 226,308.94 = 226,308.94 : x
  2. Step 2: Convert to fraction form
    149,293.13/226,308.94 = 226,308.94/x
  3. Step 3: Cross multiply
    149,293.13x = 226,308.94 × 226,308.94
  4. Step 4: Simplify right side
    149,293.13x = 51,215,735,192.38
  5. Step 5: Solve for x
    x = 51,215,735,192.38/149,293.13
  6. Step 6: Final answer
    x = 343,054.88

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.