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Finding the Third Proportional to 74,268.38 and 154,656.38

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Solution

The third proportional to 74,268.38 and 154,656.38 is: 322,056.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,268.38 : 154,656.38 = 154,656.38 : x
  2. Step 2: Convert to fraction form
    74,268.38/154,656.38 = 154,656.38/x
  3. Step 3: Cross multiply
    74,268.38x = 154,656.38 × 154,656.38
  4. Step 4: Simplify right side
    74,268.38x = 23,918,594,328.14
  5. Step 5: Solve for x
    x = 23,918,594,328.14/74,268.38
  6. Step 6: Final answer
    x = 322,056.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.