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Finding the Third Proportional to 196,682.63 and 303,711.75

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Solution

The third proportional to 196,682.63 and 303,711.75 is: 468,983.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,682.63 : 303,711.75 = 303,711.75 : x
  2. Step 2: Convert to fraction form
    196,682.63/303,711.75 = 303,711.75/x
  3. Step 3: Cross multiply
    196,682.63x = 303,711.75 × 303,711.75
  4. Step 4: Simplify right side
    196,682.63x = 92,240,827,088.06
  5. Step 5: Solve for x
    x = 92,240,827,088.06/196,682.63
  6. Step 6: Final answer
    x = 468,983.10

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.