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Finding the Third Proportional to 174,914 and 270,123

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Solution

The third proportional to 174,914 and 270,123 is: 417,156.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,914 : 270,123 = 270,123 : x
  2. Step 2: Convert to fraction form
    174,914/270,123 = 270,123/x
  3. Step 3: Cross multiply
    174,914x = 270,123 × 270,123
  4. Step 4: Simplify right side
    174,914x = 72,966,435,129
  5. Step 5: Solve for x
    x = 72,966,435,129/174,914
  6. Step 6: Final answer
    x = 417,156.06

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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.