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Finding the Third Proportional to 143,948.81 and 309,767.63

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Solution

The third proportional to 143,948.81 and 309,767.63 is: 666,597.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,948.81 : 309,767.63 = 309,767.63 : x
  2. Step 2: Convert to fraction form
    143,948.81/309,767.63 = 309,767.63/x
  3. Step 3: Cross multiply
    143,948.81x = 309,767.63 × 309,767.63
  4. Step 4: Simplify right side
    143,948.81x = 95,955,981,498.14
  5. Step 5: Solve for x
    x = 95,955,981,498.14/143,948.81
  6. Step 6: Final answer
    x = 666,597.94

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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.