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Finding the Third Proportional to 160,326 and 346,349

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Solution

The third proportional to 160,326 and 346,349 is: 748,210.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,326 : 346,349 = 346,349 : x
  2. Step 2: Convert to fraction form
    160,326/346,349 = 346,349/x
  3. Step 3: Cross multiply
    160,326x = 346,349 × 346,349
  4. Step 4: Simplify right side
    160,326x = 119,957,629,801
  5. Step 5: Solve for x
    x = 119,957,629,801/160,326
  6. Step 6: Final answer
    x = 748,210.71

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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.