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Finding the Third Proportional to 167,502 and 364,529

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Solution

The third proportional to 167,502 and 364,529 is: 793,312.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,502 : 364,529 = 364,529 : x
  2. Step 2: Convert to fraction form
    167,502/364,529 = 364,529/x
  3. Step 3: Cross multiply
    167,502x = 364,529 × 364,529
  4. Step 4: Simplify right side
    167,502x = 132,881,391,841
  5. Step 5: Solve for x
    x = 132,881,391,841/167,502
  6. Step 6: Final answer
    x = 793,312.27

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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.