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Finding the Third Proportional to 136,331.25 and 291,616.50

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Solution

The third proportional to 136,331.25 and 291,616.50 is: 623,776.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,331.25 : 291,616.50 = 291,616.50 : x
  2. Step 2: Convert to fraction form
    136,331.25/291,616.50 = 291,616.50/x
  3. Step 3: Cross multiply
    136,331.25x = 291,616.50 × 291,616.50
  4. Step 4: Simplify right side
    136,331.25x = 85,040,183,072.25
  5. Step 5: Solve for x
    x = 85,040,183,072.25/136,331.25
  6. Step 6: Final answer
    x = 623,776.16

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.