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Finding the Third Proportional to 174,986 and 270,207

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Solution

The third proportional to 174,986 and 270,207 is: 417,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,986 : 270,207 = 270,207 : x
  2. Step 2: Convert to fraction form
    174,986/270,207 = 270,207/x
  3. Step 3: Cross multiply
    174,986x = 270,207 × 270,207
  4. Step 4: Simplify right side
    174,986x = 73,011,822,849
  5. Step 5: Solve for x
    x = 73,011,822,849/174,986
  6. Step 6: Final answer
    x = 417,243.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.