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Finding the Third Proportional to 174,983 and 262,409

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Solution

The third proportional to 174,983 and 262,409 is: 393,515.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,983 : 262,409 = 262,409 : x
  2. Step 2: Convert to fraction form
    174,983/262,409 = 262,409/x
  3. Step 3: Cross multiply
    174,983x = 262,409 × 262,409
  4. Step 4: Simplify right side
    174,983x = 68,858,483,281
  5. Step 5: Solve for x
    x = 68,858,483,281/174,983
  6. Step 6: Final answer
    x = 393,515.27

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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.