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Finding the Third Proportional to 78,834.94 and 172,341

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Solution

The third proportional to 78,834.94 and 172,341 is: 376,754.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,834.94 : 172,341 = 172,341 : x
  2. Step 2: Convert to fraction form
    78,834.94/172,341 = 172,341/x
  3. Step 3: Cross multiply
    78,834.94x = 172,341 × 172,341
  4. Step 4: Simplify right side
    78,834.94x = 29,701,420,281
  5. Step 5: Solve for x
    x = 29,701,420,281/78,834.94
  6. Step 6: Final answer
    x = 376,754.54

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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.