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Finding the Third Proportional to 167,582 and 364,716

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Solution

The third proportional to 167,582 and 364,716 is: 793,747.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,582 : 364,716 = 364,716 : x
  2. Step 2: Convert to fraction form
    167,582/364,716 = 364,716/x
  3. Step 3: Cross multiply
    167,582x = 364,716 × 364,716
  4. Step 4: Simplify right side
    167,582x = 133,017,760,656
  5. Step 5: Solve for x
    x = 133,017,760,656/167,582
  6. Step 6: Final answer
    x = 793,747.30

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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.