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Finding the Third Proportional to 147,894 and 221,265

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Solution

The third proportional to 147,894 and 221,265 is: 331,035.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,894 : 221,265 = 221,265 : x
  2. Step 2: Convert to fraction form
    147,894/221,265 = 221,265/x
  3. Step 3: Cross multiply
    147,894x = 221,265 × 221,265
  4. Step 4: Simplify right side
    147,894x = 48,958,200,225
  5. Step 5: Solve for x
    x = 48,958,200,225/147,894
  6. Step 6: Final answer
    x = 331,035.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.