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Finding the Third Proportional to 143,310 and 309,968

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Solution

The third proportional to 143,310 and 309,968 is: 670,435.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,310 : 309,968 = 309,968 : x
  2. Step 2: Convert to fraction form
    143,310/309,968 = 309,968/x
  3. Step 3: Cross multiply
    143,310x = 309,968 × 309,968
  4. Step 4: Simplify right side
    143,310x = 96,080,161,024
  5. Step 5: Solve for x
    x = 96,080,161,024/143,310
  6. Step 6: Final answer
    x = 670,435.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.