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Finding the Third Proportional to 159,377 and 346,795

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Solution

The third proportional to 159,377 and 346,795 is: 754,605.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,377 : 346,795 = 346,795 : x
  2. Step 2: Convert to fraction form
    159,377/346,795 = 346,795/x
  3. Step 3: Cross multiply
    159,377x = 346,795 × 346,795
  4. Step 4: Simplify right side
    159,377x = 120,266,772,025
  5. Step 5: Solve for x
    x = 120,266,772,025/159,377
  6. Step 6: Final answer
    x = 754,605.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.