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Finding the Third Proportional to 114,458 and 177,225

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Solution

The third proportional to 114,458 and 177,225 is: 274,412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,458 : 177,225 = 177,225 : x
  2. Step 2: Convert to fraction form
    114,458/177,225 = 177,225/x
  3. Step 3: Cross multiply
    114,458x = 177,225 × 177,225
  4. Step 4: Simplify right side
    114,458x = 31,408,700,625
  5. Step 5: Solve for x
    x = 31,408,700,625/114,458
  6. Step 6: Final answer
    x = 274,412.45

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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.