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Finding the Third Proportional to 172,514 and 365,764

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Solution

The third proportional to 172,514 and 365,764 is: 775,492.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,514 : 365,764 = 365,764 : x
  2. Step 2: Convert to fraction form
    172,514/365,764 = 365,764/x
  3. Step 3: Cross multiply
    172,514x = 365,764 × 365,764
  4. Step 4: Simplify right side
    172,514x = 133,783,303,696
  5. Step 5: Solve for x
    x = 133,783,303,696/172,514
  6. Step 6: Final answer
    x = 775,492.45

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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.