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Finding the Third Proportional to 151,401 and 318,484.50

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Solution

The third proportional to 151,401 and 318,484.50 is: 669,958.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,401 : 318,484.50 = 318,484.50 : x
  2. Step 2: Convert to fraction form
    151,401/318,484.50 = 318,484.50/x
  3. Step 3: Cross multiply
    151,401x = 318,484.50 × 318,484.50
  4. Step 4: Simplify right side
    151,401x = 101,432,376,740.25
  5. Step 5: Solve for x
    x = 101,432,376,740.25/151,401
  6. Step 6: Final answer
    x = 669,958.43

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.