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Finding the Third Proportional to 160,493 and 346,684

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Solution

The third proportional to 160,493 and 346,684 is: 748,878.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,493 : 346,684 = 346,684 : x
  2. Step 2: Convert to fraction form
    160,493/346,684 = 346,684/x
  3. Step 3: Cross multiply
    160,493x = 346,684 × 346,684
  4. Step 4: Simplify right side
    160,493x = 120,189,795,856
  5. Step 5: Solve for x
    x = 120,189,795,856/160,493
  6. Step 6: Final answer
    x = 748,878.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.