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Finding the Third Proportional to 76,435 and 158,270

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Solution

The third proportional to 76,435 and 158,270 is: 327,721.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,435 : 158,270 = 158,270 : x
  2. Step 2: Convert to fraction form
    76,435/158,270 = 158,270/x
  3. Step 3: Cross multiply
    76,435x = 158,270 × 158,270
  4. Step 4: Simplify right side
    76,435x = 25,049,392,900
  5. Step 5: Solve for x
    x = 25,049,392,900/76,435
  6. Step 6: Final answer
    x = 327,721.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.