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Finding the Third Proportional to 168,964 and 362,888

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Solution

The third proportional to 168,964 and 362,888 is: 779,383.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,964 : 362,888 = 362,888 : x
  2. Step 2: Convert to fraction form
    168,964/362,888 = 362,888/x
  3. Step 3: Cross multiply
    168,964x = 362,888 × 362,888
  4. Step 4: Simplify right side
    168,964x = 131,687,700,544
  5. Step 5: Solve for x
    x = 131,687,700,544/168,964
  6. Step 6: Final answer
    x = 779,383.19

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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.