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Finding the Third Proportional to 172,085 and 369,081

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Solution

The third proportional to 172,085 and 369,081 is: 791,590.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,085 : 369,081 = 369,081 : x
  2. Step 2: Convert to fraction form
    172,085/369,081 = 369,081/x
  3. Step 3: Cross multiply
    172,085x = 369,081 × 369,081
  4. Step 4: Simplify right side
    172,085x = 136,220,784,561
  5. Step 5: Solve for x
    x = 136,220,784,561/172,085
  6. Step 6: Final answer
    x = 791,590.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.