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Finding the Third Proportional to 160,957 and 346,458

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Solution

The third proportional to 160,957 and 346,458 is: 745,746.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,957 : 346,458 = 346,458 : x
  2. Step 2: Convert to fraction form
    160,957/346,458 = 346,458/x
  3. Step 3: Cross multiply
    160,957x = 346,458 × 346,458
  4. Step 4: Simplify right side
    160,957x = 120,033,145,764
  5. Step 5: Solve for x
    x = 120,033,145,764/160,957
  6. Step 6: Final answer
    x = 745,746.66

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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.