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Finding the Third Proportional to 169,582 and 368,324

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Solution

The third proportional to 169,582 and 368,324 is: 799,982.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,582 : 368,324 = 368,324 : x
  2. Step 2: Convert to fraction form
    169,582/368,324 = 368,324/x
  3. Step 3: Cross multiply
    169,582x = 368,324 × 368,324
  4. Step 4: Simplify right side
    169,582x = 135,662,568,976
  5. Step 5: Solve for x
    x = 135,662,568,976/169,582
  6. Step 6: Final answer
    x = 799,982.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.