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Finding the Third Proportional to 196,681.50 and 422,037

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Solution

The third proportional to 196,681.50 and 422,037 is: 905,602.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,681.50 : 422,037 = 422,037 : x
  2. Step 2: Convert to fraction form
    196,681.50/422,037 = 422,037/x
  3. Step 3: Cross multiply
    196,681.50x = 422,037 × 422,037
  4. Step 4: Simplify right side
    196,681.50x = 178,115,229,369
  5. Step 5: Solve for x
    x = 178,115,229,369/196,681.50
  6. Step 6: Final answer
    x = 905,602.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.