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Finding the Third Proportional to 167,557 and 364,659

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Solution

The third proportional to 167,557 and 364,659 is: 793,617.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,557 : 364,659 = 364,659 : x
  2. Step 2: Convert to fraction form
    167,557/364,659 = 364,659/x
  3. Step 3: Cross multiply
    167,557x = 364,659 × 364,659
  4. Step 4: Simplify right side
    167,557x = 132,976,186,281
  5. Step 5: Solve for x
    x = 132,976,186,281/167,557
  6. Step 6: Final answer
    x = 793,617.61

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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.