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Finding the Third Proportional to 143,004 and 313,656

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Solution

The third proportional to 143,004 and 313,656 is: 687,953.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,004 : 313,656 = 313,656 : x
  2. Step 2: Convert to fraction form
    143,004/313,656 = 313,656/x
  3. Step 3: Cross multiply
    143,004x = 313,656 × 313,656
  4. Step 4: Simplify right side
    143,004x = 98,380,086,336
  5. Step 5: Solve for x
    x = 98,380,086,336/143,004
  6. Step 6: Final answer
    x = 687,953.39

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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.