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Finding the Third Proportional to 196,678.50 and 431,265

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Solution

The third proportional to 196,678.50 and 431,265 is: 945,652.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,678.50 : 431,265 = 431,265 : x
  2. Step 2: Convert to fraction form
    196,678.50/431,265 = 431,265/x
  3. Step 3: Cross multiply
    196,678.50x = 431,265 × 431,265
  4. Step 4: Simplify right side
    196,678.50x = 185,989,500,225
  5. Step 5: Solve for x
    x = 185,989,500,225/196,678.50
  6. Step 6: Final answer
    x = 945,652.42

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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.