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Finding the Third Proportional to 149,142 and 223,833

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Solution

The third proportional to 149,142 and 223,833 is: 335,929.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,142 : 223,833 = 223,833 : x
  2. Step 2: Convert to fraction form
    149,142/223,833 = 223,833/x
  3. Step 3: Cross multiply
    149,142x = 223,833 × 223,833
  4. Step 4: Simplify right side
    149,142x = 50,101,211,889
  5. Step 5: Solve for x
    x = 50,101,211,889/149,142
  6. Step 6: Final answer
    x = 335,929.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.