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Finding the Third Proportional to 141,697 and 309,746

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Solution

The third proportional to 141,697 and 309,746 is: 677,096.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,697 : 309,746 = 309,746 : x
  2. Step 2: Convert to fraction form
    141,697/309,746 = 309,746/x
  3. Step 3: Cross multiply
    141,697x = 309,746 × 309,746
  4. Step 4: Simplify right side
    141,697x = 95,942,584,516
  5. Step 5: Solve for x
    x = 95,942,584,516/141,697
  6. Step 6: Final answer
    x = 677,096.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.