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Finding the Third Proportional to 169,447 and 366,787

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Solution

The third proportional to 169,447 and 366,787 is: 793,951.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,447 : 366,787 = 366,787 : x
  2. Step 2: Convert to fraction form
    169,447/366,787 = 366,787/x
  3. Step 3: Cross multiply
    169,447x = 366,787 × 366,787
  4. Step 4: Simplify right side
    169,447x = 134,532,703,369
  5. Step 5: Solve for x
    x = 134,532,703,369/169,447
  6. Step 6: Final answer
    x = 793,951.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.