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Finding the Third Proportional to 167,994 and 260,145

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Solution

The third proportional to 167,994 and 260,145 is: 402,844.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,994 : 260,145 = 260,145 : x
  2. Step 2: Convert to fraction form
    167,994/260,145 = 260,145/x
  3. Step 3: Cross multiply
    167,994x = 260,145 × 260,145
  4. Step 4: Simplify right side
    167,994x = 67,675,421,025
  5. Step 5: Solve for x
    x = 67,675,421,025/167,994
  6. Step 6: Final answer
    x = 402,844.27

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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.