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Finding the Third Proportional to 175,068 and 373,463

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Solution

The third proportional to 175,068 and 373,463 is: 796,688.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,068 : 373,463 = 373,463 : x
  2. Step 2: Convert to fraction form
    175,068/373,463 = 373,463/x
  3. Step 3: Cross multiply
    175,068x = 373,463 × 373,463
  4. Step 4: Simplify right side
    175,068x = 139,474,612,369
  5. Step 5: Solve for x
    x = 139,474,612,369/175,068
  6. Step 6: Final answer
    x = 796,688.21

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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.