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Finding the Third Proportional to 157,919.63 and 323,220.38

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Solution

The third proportional to 157,919.63 and 323,220.38 is: 661,547.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,919.63 : 323,220.38 = 323,220.38 : x
  2. Step 2: Convert to fraction form
    157,919.63/323,220.38 = 323,220.38/x
  3. Step 3: Cross multiply
    157,919.63x = 323,220.38 × 323,220.38
  4. Step 4: Simplify right side
    157,919.63x = 104,471,410,815.14
  5. Step 5: Solve for x
    x = 104,471,410,815.14/157,919.63
  6. Step 6: Final answer
    x = 661,547.99

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.