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Finding the Third Proportional to 160,816 and 342,431

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Solution

The third proportional to 160,816 and 342,431 is: 729,150.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,816 : 342,431 = 342,431 : x
  2. Step 2: Convert to fraction form
    160,816/342,431 = 342,431/x
  3. Step 3: Cross multiply
    160,816x = 342,431 × 342,431
  4. Step 4: Simplify right side
    160,816x = 117,258,989,761
  5. Step 5: Solve for x
    x = 117,258,989,761/160,816
  6. Step 6: Final answer
    x = 729,150.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.