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Finding the Third Proportional to 158,834 and 245,715

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Solution

The third proportional to 158,834 and 245,715 is: 380,119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,834 : 245,715 = 245,715 : x
  2. Step 2: Convert to fraction form
    158,834/245,715 = 245,715/x
  3. Step 3: Cross multiply
    158,834x = 245,715 × 245,715
  4. Step 4: Simplify right side
    158,834x = 60,375,861,225
  5. Step 5: Solve for x
    x = 60,375,861,225/158,834
  6. Step 6: Final answer
    x = 380,119.25

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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.