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Finding the Third Proportional to 174,022 and 264,678

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Solution

The third proportional to 174,022 and 264,678 is: 402,560.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,022 : 264,678 = 264,678 : x
  2. Step 2: Convert to fraction form
    174,022/264,678 = 264,678/x
  3. Step 3: Cross multiply
    174,022x = 264,678 × 264,678
  4. Step 4: Simplify right side
    174,022x = 70,054,443,684
  5. Step 5: Solve for x
    x = 70,054,443,684/174,022
  6. Step 6: Final answer
    x = 402,560.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.