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Finding the Third Proportional to 144,182.53 and 309,688.31

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Solution

The third proportional to 144,182.53 and 309,688.31 is: 665,176.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,182.53 : 309,688.31 = 309,688.31 : x
  2. Step 2: Convert to fraction form
    144,182.53/309,688.31 = 309,688.31/x
  3. Step 3: Cross multiply
    144,182.53x = 309,688.31 × 309,688.31
  4. Step 4: Simplify right side
    144,182.53x = 95,906,850,899.10
  5. Step 5: Solve for x
    x = 95,906,850,899.10/144,182.53
  6. Step 6: Final answer
    x = 665,176.63

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.