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Finding the Third Proportional to 144,149.63 and 309,612.38

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Solution

The third proportional to 144,149.63 and 309,612.38 is: 665,002.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,149.63 : 309,612.38 = 309,612.38 : x
  2. Step 2: Convert to fraction form
    144,149.63/309,612.38 = 309,612.38/x
  3. Step 3: Cross multiply
    144,149.63x = 309,612.38 × 309,612.38
  4. Step 4: Simplify right side
    144,149.63x = 95,859,822,753.14
  5. Step 5: Solve for x
    x = 95,859,822,753.14/144,149.63
  6. Step 6: Final answer
    x = 665,002.23

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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.