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Finding the Third Proportional to 168,160 and 369,080

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Solution

The third proportional to 168,160 and 369,080 is: 810,062.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,160 : 369,080 = 369,080 : x
  2. Step 2: Convert to fraction form
    168,160/369,080 = 369,080/x
  3. Step 3: Cross multiply
    168,160x = 369,080 × 369,080
  4. Step 4: Simplify right side
    168,160x = 136,220,046,400
  5. Step 5: Solve for x
    x = 136,220,046,400/168,160
  6. Step 6: Final answer
    x = 810,062.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.