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Finding the Third Proportional to 196,384.50 and 300,283.88

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Solution

The third proportional to 196,384.50 and 300,283.88 is: 459,152.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,384.50 : 300,283.88 = 300,283.88 : x
  2. Step 2: Convert to fraction form
    196,384.50/300,283.88 = 300,283.88/x
  3. Step 3: Cross multiply
    196,384.50x = 300,283.88 × 300,283.88
  4. Step 4: Simplify right side
    196,384.50x = 90,170,405,585.02
  5. Step 5: Solve for x
    x = 90,170,405,585.02/196,384.50
  6. Step 6: Final answer
    x = 459,152.35

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.