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Finding the Third Proportional to 148,692 and 223,083

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Solution

The third proportional to 148,692 and 223,083 is: 334,692.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,692 : 223,083 = 223,083 : x
  2. Step 2: Convert to fraction form
    148,692/223,083 = 223,083/x
  3. Step 3: Cross multiply
    148,692x = 223,083 × 223,083
  4. Step 4: Simplify right side
    148,692x = 49,766,024,889
  5. Step 5: Solve for x
    x = 49,766,024,889/148,692
  6. Step 6: Final answer
    x = 334,692.01

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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.