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Finding the Third Proportional to 151,433.93 and 234,452.92

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Solution

The third proportional to 151,433.93 and 234,452.92 is: 362,984.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,433.93 : 234,452.92 = 234,452.92 : x
  2. Step 2: Convert to fraction form
    151,433.93/234,452.92 = 234,452.92/x
  3. Step 3: Cross multiply
    151,433.93x = 234,452.92 × 234,452.92
  4. Step 4: Simplify right side
    151,433.93x = 54,968,170,744.06
  5. Step 5: Solve for x
    x = 54,968,170,744.06/151,433.93
  6. Step 6: Final answer
    x = 362,984.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.