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Finding the Third Proportional to 168,066 and 260,203

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Solution

The third proportional to 168,066 and 260,203 is: 402,851.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,066 : 260,203 = 260,203 : x
  2. Step 2: Convert to fraction form
    168,066/260,203 = 260,203/x
  3. Step 3: Cross multiply
    168,066x = 260,203 × 260,203
  4. Step 4: Simplify right side
    168,066x = 67,705,601,209
  5. Step 5: Solve for x
    x = 67,705,601,209/168,066
  6. Step 6: Final answer
    x = 402,851.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.