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Finding the Third Proportional to 168,614 and 361,148

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Solution

The third proportional to 168,614 and 361,148 is: 773,529.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,614 : 361,148 = 361,148 : x
  2. Step 2: Convert to fraction form
    168,614/361,148 = 361,148/x
  3. Step 3: Cross multiply
    168,614x = 361,148 × 361,148
  4. Step 4: Simplify right side
    168,614x = 130,427,877,904
  5. Step 5: Solve for x
    x = 130,427,877,904/168,614
  6. Step 6: Final answer
    x = 773,529.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.