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Finding the Third Proportional to 175,078 and 373,480

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Solution

The third proportional to 175,078 and 373,480 is: 796,715.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,078 : 373,480 = 373,480 : x
  2. Step 2: Convert to fraction form
    175,078/373,480 = 373,480/x
  3. Step 3: Cross multiply
    175,078x = 373,480 × 373,480
  4. Step 4: Simplify right side
    175,078x = 139,487,310,400
  5. Step 5: Solve for x
    x = 139,487,310,400/175,078
  6. Step 6: Final answer
    x = 796,715.24

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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.