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Finding the Third Proportional to 172,967.63 and 379,988.63

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Solution

The third proportional to 172,967.63 and 379,988.63 is: 834,788.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,967.63 : 379,988.63 = 379,988.63 : x
  2. Step 2: Convert to fraction form
    172,967.63/379,988.63 = 379,988.63/x
  3. Step 3: Cross multiply
    172,967.63x = 379,988.63 × 379,988.63
  4. Step 4: Simplify right side
    172,967.63x = 144,391,355,129.39
  5. Step 5: Solve for x
    x = 144,391,355,129.39/172,967.63
  6. Step 6: Final answer
    x = 834,788.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.