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Finding the Third Proportional to 160,622 and 342,619

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Solution

The third proportional to 160,622 and 342,619 is: 730,832.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,622 : 342,619 = 342,619 : x
  2. Step 2: Convert to fraction form
    160,622/342,619 = 342,619/x
  3. Step 3: Cross multiply
    160,622x = 342,619 × 342,619
  4. Step 4: Simplify right side
    160,622x = 117,387,779,161
  5. Step 5: Solve for x
    x = 117,387,779,161/160,622
  6. Step 6: Final answer
    x = 730,832.51

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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.