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Finding the Third Proportional to 196,615 and 430,026.50

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Solution

The third proportional to 196,615 and 430,026.50 is: 940,532.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,615 : 430,026.50 = 430,026.50 : x
  2. Step 2: Convert to fraction form
    196,615/430,026.50 = 430,026.50/x
  3. Step 3: Cross multiply
    196,615x = 430,026.50 × 430,026.50
  4. Step 4: Simplify right side
    196,615x = 184,922,790,702.25
  5. Step 5: Solve for x
    x = 184,922,790,702.25/196,615
  6. Step 6: Final answer
    x = 940,532.47

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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.