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Finding the Third Proportional to 169,353 and 369,810

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Solution

The third proportional to 169,353 and 369,810 is: 807,540.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,353 : 369,810 = 369,810 : x
  2. Step 2: Convert to fraction form
    169,353/369,810 = 369,810/x
  3. Step 3: Cross multiply
    169,353x = 369,810 × 369,810
  4. Step 4: Simplify right side
    169,353x = 136,759,436,100
  5. Step 5: Solve for x
    x = 136,759,436,100/169,353
  6. Step 6: Final answer
    x = 807,540.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.