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Finding the Third Proportional to 196,419.94 and 296,270.16

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Solution

The third proportional to 196,419.94 and 296,270.16 is: 446,879.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,419.94 : 296,270.16 = 296,270.16 : x
  2. Step 2: Convert to fraction form
    196,419.94/296,270.16 = 296,270.16/x
  3. Step 3: Cross multiply
    196,419.94x = 296,270.16 × 296,270.16
  4. Step 4: Simplify right side
    196,419.94x = 87,776,005,484.40
  5. Step 5: Solve for x
    x = 87,776,005,484.40/196,419.94
  6. Step 6: Final answer
    x = 446,879.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.