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Finding the Third Proportional to 174,964 and 262,399

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Solution

The third proportional to 174,964 and 262,399 is: 393,528.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,964 : 262,399 = 262,399 : x
  2. Step 2: Convert to fraction form
    174,964/262,399 = 262,399/x
  3. Step 3: Cross multiply
    174,964x = 262,399 × 262,399
  4. Step 4: Simplify right side
    174,964x = 68,853,235,201
  5. Step 5: Solve for x
    x = 68,853,235,201/174,964
  6. Step 6: Final answer
    x = 393,528.01

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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.