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Finding the Third Proportional to 196,988.63 and 300,405.38

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Solution

The third proportional to 196,988.63 and 300,405.38 is: 458,114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,988.63 : 300,405.38 = 300,405.38 : x
  2. Step 2: Convert to fraction form
    196,988.63/300,405.38 = 300,405.38/x
  3. Step 3: Cross multiply
    196,988.63x = 300,405.38 × 300,405.38
  4. Step 4: Simplify right side
    196,988.63x = 90,243,389,328.89
  5. Step 5: Solve for x
    x = 90,243,389,328.89/196,988.63
  6. Step 6: Final answer
    x = 458,114.72

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.