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Finding the Third Proportional to 174,635 and 262,973

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Solution

The third proportional to 174,635 and 262,973 is: 395,996.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,635 : 262,973 = 262,973 : x
  2. Step 2: Convert to fraction form
    174,635/262,973 = 262,973/x
  3. Step 3: Cross multiply
    174,635x = 262,973 × 262,973
  4. Step 4: Simplify right side
    174,635x = 69,154,798,729
  5. Step 5: Solve for x
    x = 69,154,798,729/174,635
  6. Step 6: Final answer
    x = 395,996.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.