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Finding the Third Proportional to 149,890.50 and 324,243

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Solution

The third proportional to 149,890.50 and 324,243 is: 701,402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,890.50 : 324,243 = 324,243 : x
  2. Step 2: Convert to fraction form
    149,890.50/324,243 = 324,243/x
  3. Step 3: Cross multiply
    149,890.50x = 324,243 × 324,243
  4. Step 4: Simplify right side
    149,890.50x = 105,133,523,049
  5. Step 5: Solve for x
    x = 105,133,523,049/149,890.50
  6. Step 6: Final answer
    x = 701,402.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.