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Finding the Third Proportional to 196,323.75 and 431,215.88

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Solution

The third proportional to 196,323.75 and 431,215.88 is: 947,145.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,323.75 : 431,215.88 = 431,215.88 : x
  2. Step 2: Convert to fraction form
    196,323.75/431,215.88 = 431,215.88/x
  3. Step 3: Cross multiply
    196,323.75x = 431,215.88 × 431,215.88
  4. Step 4: Simplify right side
    196,323.75x = 185,947,130,852.02
  5. Step 5: Solve for x
    x = 185,947,130,852.02/196,323.75
  6. Step 6: Final answer
    x = 947,145.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.