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Finding the Third Proportional to 168,324 and 362,080

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Solution

The third proportional to 168,324 and 362,080 is: 778,866.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,324 : 362,080 = 362,080 : x
  2. Step 2: Convert to fraction form
    168,324/362,080 = 362,080/x
  3. Step 3: Cross multiply
    168,324x = 362,080 × 362,080
  4. Step 4: Simplify right side
    168,324x = 131,101,926,400
  5. Step 5: Solve for x
    x = 131,101,926,400/168,324
  6. Step 6: Final answer
    x = 778,866.51

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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.