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Finding the Third Proportional to 167,572 and 364,232

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Solution

The third proportional to 167,572 and 364,232 is: 791,689.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,572 : 364,232 = 364,232 : x
  2. Step 2: Convert to fraction form
    167,572/364,232 = 364,232/x
  3. Step 3: Cross multiply
    167,572x = 364,232 × 364,232
  4. Step 4: Simplify right side
    167,572x = 132,664,949,824
  5. Step 5: Solve for x
    x = 132,664,949,824/167,572
  6. Step 6: Final answer
    x = 791,689.24

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