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Finding the Third Proportional to 160,964 and 346,838

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Solution

The third proportional to 160,964 and 346,838 is: 747,350.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,964 : 346,838 = 346,838 : x
  2. Step 2: Convert to fraction form
    160,964/346,838 = 346,838/x
  3. Step 3: Cross multiply
    160,964x = 346,838 × 346,838
  4. Step 4: Simplify right side
    160,964x = 120,296,598,244
  5. Step 5: Solve for x
    x = 120,296,598,244/160,964
  6. Step 6: Final answer
    x = 747,350.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.