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Finding the Third Proportional to 160,994 and 349,665

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Solution

The third proportional to 160,994 and 349,665 is: 759,442.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,994 : 349,665 = 349,665 : x
  2. Step 2: Convert to fraction form
    160,994/349,665 = 349,665/x
  3. Step 3: Cross multiply
    160,994x = 349,665 × 349,665
  4. Step 4: Simplify right side
    160,994x = 122,265,612,225
  5. Step 5: Solve for x
    x = 122,265,612,225/160,994
  6. Step 6: Final answer
    x = 759,442.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.