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Finding the Third Proportional to 151,548 and 234,505

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Solution

The third proportional to 151,548 and 234,505 is: 362,872.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,548 : 234,505 = 234,505 : x
  2. Step 2: Convert to fraction form
    151,548/234,505 = 234,505/x
  3. Step 3: Cross multiply
    151,548x = 234,505 × 234,505
  4. Step 4: Simplify right side
    151,548x = 54,992,595,025
  5. Step 5: Solve for x
    x = 54,992,595,025/151,548
  6. Step 6: Final answer
    x = 362,872.46

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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.