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Finding the Third Proportional to 160,123 and 346,544

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Solution

The third proportional to 160,123 and 346,544 is: 750,003.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,123 : 346,544 = 346,544 : x
  2. Step 2: Convert to fraction form
    160,123/346,544 = 346,544/x
  3. Step 3: Cross multiply
    160,123x = 346,544 × 346,544
  4. Step 4: Simplify right side
    160,123x = 120,092,743,936
  5. Step 5: Solve for x
    x = 120,092,743,936/160,123
  6. Step 6: Final answer
    x = 750,003.08

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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.