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Finding the Third Proportional to 149,274 and 223,362

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Solution

The third proportional to 149,274 and 223,362 is: 334,221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,274 : 223,362 = 223,362 : x
  2. Step 2: Convert to fraction form
    149,274/223,362 = 223,362/x
  3. Step 3: Cross multiply
    149,274x = 223,362 × 223,362
  4. Step 4: Simplify right side
    149,274x = 49,890,583,044
  5. Step 5: Solve for x
    x = 49,890,583,044/149,274
  6. Step 6: Final answer
    x = 334,221.52

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