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Finding the Third Proportional to 196,616 and 430,028.50

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Solution

The third proportional to 196,616 and 430,028.50 is: 940,536.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,616 : 430,028.50 = 430,028.50 : x
  2. Step 2: Convert to fraction form
    196,616/430,028.50 = 430,028.50/x
  3. Step 3: Cross multiply
    196,616x = 430,028.50 × 430,028.50
  4. Step 4: Simplify right side
    196,616x = 184,924,510,812.25
  5. Step 5: Solve for x
    x = 184,924,510,812.25/196,616
  6. Step 6: Final answer
    x = 940,536.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.