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Finding the Third Proportional to 160,349 and 346,372

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Solution

The third proportional to 160,349 and 346,372 is: 748,202.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,349 : 346,372 = 346,372 : x
  2. Step 2: Convert to fraction form
    160,349/346,372 = 346,372/x
  3. Step 3: Cross multiply
    160,349x = 346,372 × 346,372
  4. Step 4: Simplify right side
    160,349x = 119,973,562,384
  5. Step 5: Solve for x
    x = 119,973,562,384/160,349
  6. Step 6: Final answer
    x = 748,202.75

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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.