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Finding the Third Proportional to 167,620 and 357,704

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Solution

The third proportional to 167,620 and 357,704 is: 763,346.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,620 : 357,704 = 357,704 : x
  2. Step 2: Convert to fraction form
    167,620/357,704 = 357,704/x
  3. Step 3: Cross multiply
    167,620x = 357,704 × 357,704
  4. Step 4: Simplify right side
    167,620x = 127,952,151,616
  5. Step 5: Solve for x
    x = 127,952,151,616/167,620
  6. Step 6: Final answer
    x = 763,346.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.