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Finding the Third Proportional to 172,478 and 365,827

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Solution

The third proportional to 172,478 and 365,827 is: 775,921.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,478 : 365,827 = 365,827 : x
  2. Step 2: Convert to fraction form
    172,478/365,827 = 365,827/x
  3. Step 3: Cross multiply
    172,478x = 365,827 × 365,827
  4. Step 4: Simplify right side
    172,478x = 133,829,393,929
  5. Step 5: Solve for x
    x = 133,829,393,929/172,478
  6. Step 6: Final answer
    x = 775,921.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.