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Finding the Third Proportional to 158,628 and 211,479

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Solution

The third proportional to 158,628 and 211,479 is: 281,938.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,628 : 211,479 = 211,479 : x
  2. Step 2: Convert to fraction form
    158,628/211,479 = 211,479/x
  3. Step 3: Cross multiply
    158,628x = 211,479 × 211,479
  4. Step 4: Simplify right side
    158,628x = 44,723,367,441
  5. Step 5: Solve for x
    x = 44,723,367,441/158,628
  6. Step 6: Final answer
    x = 281,938.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.