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Finding the Third Proportional to 138,447 and 212,692.50

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Solution

The third proportional to 138,447 and 212,692.50 is: 326,753.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,447 : 212,692.50 = 212,692.50 : x
  2. Step 2: Convert to fraction form
    138,447/212,692.50 = 212,692.50/x
  3. Step 3: Cross multiply
    138,447x = 212,692.50 × 212,692.50
  4. Step 4: Simplify right side
    138,447x = 45,238,099,556.25
  5. Step 5: Solve for x
    x = 45,238,099,556.25/138,447
  6. Step 6: Final answer
    x = 326,753.92

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.