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Finding the Third Proportional to 149,764.50 and 325,773

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Solution

The third proportional to 149,764.50 and 325,773 is: 708,632.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,764.50 : 325,773 = 325,773 : x
  2. Step 2: Convert to fraction form
    149,764.50/325,773 = 325,773/x
  3. Step 3: Cross multiply
    149,764.50x = 325,773 × 325,773
  4. Step 4: Simplify right side
    149,764.50x = 106,128,047,529
  5. Step 5: Solve for x
    x = 106,128,047,529/149,764.50
  6. Step 6: Final answer
    x = 708,632.87

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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.