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Finding the Third Proportional to 167,580 and 364,712

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Solution

The third proportional to 167,580 and 364,712 is: 793,739.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,580 : 364,712 = 364,712 : x
  2. Step 2: Convert to fraction form
    167,580/364,712 = 364,712/x
  3. Step 3: Cross multiply
    167,580x = 364,712 × 364,712
  4. Step 4: Simplify right side
    167,580x = 133,014,842,944
  5. Step 5: Solve for x
    x = 133,014,842,944/167,580
  6. Step 6: Final answer
    x = 793,739.37

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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.