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Finding the Third Proportional to 152,157 and 335,418

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Solution

The third proportional to 152,157 and 335,418 is: 739,402.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,157 : 335,418 = 335,418 : x
  2. Step 2: Convert to fraction form
    152,157/335,418 = 335,418/x
  3. Step 3: Cross multiply
    152,157x = 335,418 × 335,418
  4. Step 4: Simplify right side
    152,157x = 112,505,234,724
  5. Step 5: Solve for x
    x = 112,505,234,724/152,157
  6. Step 6: Final answer
    x = 739,402.29

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.