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Finding the Third Proportional to 160,950 and 346,444

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Solution

The third proportional to 160,950 and 346,444 is: 745,718.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,950 : 346,444 = 346,444 : x
  2. Step 2: Convert to fraction form
    160,950/346,444 = 346,444/x
  3. Step 3: Cross multiply
    160,950x = 346,444 × 346,444
  4. Step 4: Simplify right side
    160,950x = 120,023,445,136
  5. Step 5: Solve for x
    x = 120,023,445,136/160,950
  6. Step 6: Final answer
    x = 745,718.83

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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.