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Finding the Third Proportional to 143,111.81 and 307,956.94

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Solution

The third proportional to 143,111.81 and 307,956.94 is: 662,680.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,111.81 : 307,956.94 = 307,956.94 : x
  2. Step 2: Convert to fraction form
    143,111.81/307,956.94 = 307,956.94/x
  3. Step 3: Cross multiply
    143,111.81x = 307,956.94 × 307,956.94
  4. Step 4: Simplify right side
    143,111.81x = 94,837,475,354.38
  5. Step 5: Solve for x
    x = 94,837,475,354.38/143,111.81
  6. Step 6: Final answer
    x = 662,680.97

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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.