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Finding the Third Proportional to 174,837 and 261,177

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Solution

The third proportional to 174,837 and 261,177 is: 390,154.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,837 : 261,177 = 261,177 : x
  2. Step 2: Convert to fraction form
    174,837/261,177 = 261,177/x
  3. Step 3: Cross multiply
    174,837x = 261,177 × 261,177
  4. Step 4: Simplify right side
    174,837x = 68,213,425,329
  5. Step 5: Solve for x
    x = 68,213,425,329/174,837
  6. Step 6: Final answer
    x = 390,154.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.