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Finding the Third Proportional to 149,762 and 325,768

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Solution

The third proportional to 149,762 and 325,768 is: 708,622.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,762 : 325,768 = 325,768 : x
  2. Step 2: Convert to fraction form
    149,762/325,768 = 325,768/x
  3. Step 3: Cross multiply
    149,762x = 325,768 × 325,768
  4. Step 4: Simplify right side
    149,762x = 106,124,789,824
  5. Step 5: Solve for x
    x = 106,124,789,824/149,762
  6. Step 6: Final answer
    x = 708,622.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.