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Finding the Third Proportional to 135,111.38 and 295,616.25

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Solution

The third proportional to 135,111.38 and 295,616.25 is: 646,792.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,111.38 : 295,616.25 = 295,616.25 : x
  2. Step 2: Convert to fraction form
    135,111.38/295,616.25 = 295,616.25/x
  3. Step 3: Cross multiply
    135,111.38x = 295,616.25 × 295,616.25
  4. Step 4: Simplify right side
    135,111.38x = 87,388,967,264.06
  5. Step 5: Solve for x
    x = 87,388,967,264.06/135,111.38
  6. Step 6: Final answer
    x = 646,792.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.