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Finding the Third Proportional to 144,113.63 and 309,548.25

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Solution

The third proportional to 144,113.63 and 309,548.25 is: 664,892.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,113.63 : 309,548.25 = 309,548.25 : x
  2. Step 2: Convert to fraction form
    144,113.63/309,548.25 = 309,548.25/x
  3. Step 3: Cross multiply
    144,113.63x = 309,548.25 × 309,548.25
  4. Step 4: Simplify right side
    144,113.63x = 95,820,119,078.06
  5. Step 5: Solve for x
    x = 95,820,119,078.06/144,113.63
  6. Step 6: Final answer
    x = 664,892.85

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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.