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Finding the Third Proportional to 168,507 and 363,996

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Solution

The third proportional to 168,507 and 363,996 is: 786,276.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,507 : 363,996 = 363,996 : x
  2. Step 2: Convert to fraction form
    168,507/363,996 = 363,996/x
  3. Step 3: Cross multiply
    168,507x = 363,996 × 363,996
  4. Step 4: Simplify right side
    168,507x = 132,493,088,016
  5. Step 5: Solve for x
    x = 132,493,088,016/168,507
  6. Step 6: Final answer
    x = 786,276.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.