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Finding the Third Proportional to 77,700 and 166,728

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Solution

The third proportional to 77,700 and 166,728 is: 357,763.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,700 : 166,728 = 166,728 : x
  2. Step 2: Convert to fraction form
    77,700/166,728 = 166,728/x
  3. Step 3: Cross multiply
    77,700x = 166,728 × 166,728
  4. Step 4: Simplify right side
    77,700x = 27,798,225,984
  5. Step 5: Solve for x
    x = 27,798,225,984/77,700
  6. Step 6: Final answer
    x = 357,763.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.