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Finding the Third Proportional to 196,224 and 430,416

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Solution

The third proportional to 196,224 and 430,416 is: 944,114.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,224 : 430,416 = 430,416 : x
  2. Step 2: Convert to fraction form
    196,224/430,416 = 430,416/x
  3. Step 3: Cross multiply
    196,224x = 430,416 × 430,416
  4. Step 4: Simplify right side
    196,224x = 185,257,933,056
  5. Step 5: Solve for x
    x = 185,257,933,056/196,224
  6. Step 6: Final answer
    x = 944,114.55

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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.