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Finding the Third Proportional to 169,948 and 373,447

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Solution

The third proportional to 169,948 and 373,447 is: 820,619.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,948 : 373,447 = 373,447 : x
  2. Step 2: Convert to fraction form
    169,948/373,447 = 373,447/x
  3. Step 3: Cross multiply
    169,948x = 373,447 × 373,447
  4. Step 4: Simplify right side
    169,948x = 139,462,661,809
  5. Step 5: Solve for x
    x = 139,462,661,809/169,948
  6. Step 6: Final answer
    x = 820,619.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.