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Finding the Third Proportional to 169,614 and 364,986

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Solution

The third proportional to 169,614 and 364,986 is: 785,399.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,614 : 364,986 = 364,986 : x
  2. Step 2: Convert to fraction form
    169,614/364,986 = 364,986/x
  3. Step 3: Cross multiply
    169,614x = 364,986 × 364,986
  4. Step 4: Simplify right side
    169,614x = 133,214,780,196
  5. Step 5: Solve for x
    x = 133,214,780,196/169,614
  6. Step 6: Final answer
    x = 785,399.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.