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Finding the Third Proportional to 158,708 and 245,946

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Solution

The third proportional to 158,708 and 245,946 is: 381,136.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,708 : 245,946 = 245,946 : x
  2. Step 2: Convert to fraction form
    158,708/245,946 = 245,946/x
  3. Step 3: Cross multiply
    158,708x = 245,946 × 245,946
  4. Step 4: Simplify right side
    158,708x = 60,489,434,916
  5. Step 5: Solve for x
    x = 60,489,434,916/158,708
  6. Step 6: Final answer
    x = 381,136.65

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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.