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Finding the Third Proportional to 174,969 and 383,973

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Solution

The third proportional to 174,969 and 383,973 is: 842,636.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,969 : 383,973 = 383,973 : x
  2. Step 2: Convert to fraction form
    174,969/383,973 = 383,973/x
  3. Step 3: Cross multiply
    174,969x = 383,973 × 383,973
  4. Step 4: Simplify right side
    174,969x = 147,435,264,729
  5. Step 5: Solve for x
    x = 147,435,264,729/174,969
  6. Step 6: Final answer
    x = 842,636.49

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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.