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Finding the Third Proportional to 136,544 and 213,728

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Solution

The third proportional to 136,544 and 213,728 is: 334,541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,544 : 213,728 = 213,728 : x
  2. Step 2: Convert to fraction form
    136,544/213,728 = 213,728/x
  3. Step 3: Cross multiply
    136,544x = 213,728 × 213,728
  4. Step 4: Simplify right side
    136,544x = 45,679,657,984
  5. Step 5: Solve for x
    x = 45,679,657,984/136,544
  6. Step 6: Final answer
    x = 334,541.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.