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Finding the Third Proportional to 172,176.75 and 373,838.25

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Solution

The third proportional to 172,176.75 and 373,838.25 is: 811,695.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,176.75 : 373,838.25 = 373,838.25 : x
  2. Step 2: Convert to fraction form
    172,176.75/373,838.25 = 373,838.25/x
  3. Step 3: Cross multiply
    172,176.75x = 373,838.25 × 373,838.25
  4. Step 4: Simplify right side
    172,176.75x = 139,755,037,163.06
  5. Step 5: Solve for x
    x = 139,755,037,163.06/172,176.75
  6. Step 6: Final answer
    x = 811,695.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.