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Finding the Third Proportional to 174,810 and 262,119

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Solution

The third proportional to 174,810 and 262,119 is: 393,034.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,810 : 262,119 = 262,119 : x
  2. Step 2: Convert to fraction form
    174,810/262,119 = 262,119/x
  3. Step 3: Cross multiply
    174,810x = 262,119 × 262,119
  4. Step 4: Simplify right side
    174,810x = 68,706,370,161
  5. Step 5: Solve for x
    x = 68,706,370,161/174,810
  6. Step 6: Final answer
    x = 393,034.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.