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Finding the Third Proportional to 167,572 and 365,253

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Solution

The third proportional to 167,572 and 365,253 is: 796,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,572 : 365,253 = 365,253 : x
  2. Step 2: Convert to fraction form
    167,572/365,253 = 365,253/x
  3. Step 3: Cross multiply
    167,572x = 365,253 × 365,253
  4. Step 4: Simplify right side
    167,572x = 133,409,754,009
  5. Step 5: Solve for x
    x = 133,409,754,009/167,572
  6. Step 6: Final answer
    x = 796,133.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.