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Finding the Third Proportional to 149,536.13 and 224,304.19

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Solution

The third proportional to 149,536.13 and 224,304.19 is: 336,456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,536.13 : 224,304.19 = 224,304.19 : x
  2. Step 2: Convert to fraction form
    149,536.13/224,304.19 = 224,304.19/x
  3. Step 3: Cross multiply
    149,536.13x = 224,304.19 × 224,304.19
  4. Step 4: Simplify right side
    149,536.13x = 50,312,368,530.04
  5. Step 5: Solve for x
    x = 50,312,368,530.04/149,536.13
  6. Step 6: Final answer
    x = 336,456.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.