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Finding the Third Proportional to 174,666 and 270,537

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Solution

The third proportional to 174,666 and 270,537 is: 419,029.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,666 : 270,537 = 270,537 : x
  2. Step 2: Convert to fraction form
    174,666/270,537 = 270,537/x
  3. Step 3: Cross multiply
    174,666x = 270,537 × 270,537
  4. Step 4: Simplify right side
    174,666x = 73,190,268,369
  5. Step 5: Solve for x
    x = 73,190,268,369/174,666
  6. Step 6: Final answer
    x = 419,029.85

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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.