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Finding the Third Proportional to 173,516 and 235,698

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Solution

The third proportional to 173,516 and 235,698 is: 320,163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,516 : 235,698 = 235,698 : x
  2. Step 2: Convert to fraction form
    173,516/235,698 = 235,698/x
  3. Step 3: Cross multiply
    173,516x = 235,698 × 235,698
  4. Step 4: Simplify right side
    173,516x = 55,553,547,204
  5. Step 5: Solve for x
    x = 55,553,547,204/173,516
  6. Step 6: Final answer
    x = 320,163.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.