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Finding the Third Proportional to 140,459 and 309,549

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Solution

The third proportional to 140,459 and 309,549 is: 682,196.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,459 : 309,549 = 309,549 : x
  2. Step 2: Convert to fraction form
    140,459/309,549 = 309,549/x
  3. Step 3: Cross multiply
    140,459x = 309,549 × 309,549
  4. Step 4: Simplify right side
    140,459x = 95,820,583,401
  5. Step 5: Solve for x
    x = 95,820,583,401/140,459
  6. Step 6: Final answer
    x = 682,196.11

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.