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Finding the Third Proportional to 175,072 and 373,471

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Solution

The third proportional to 175,072 and 373,471 is: 796,704.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,072 : 373,471 = 373,471 : x
  2. Step 2: Convert to fraction form
    175,072/373,471 = 373,471/x
  3. Step 3: Cross multiply
    175,072x = 373,471 × 373,471
  4. Step 4: Simplify right side
    175,072x = 139,480,587,841
  5. Step 5: Solve for x
    x = 139,480,587,841/175,072
  6. Step 6: Final answer
    x = 796,704.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.