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Finding the Third Proportional to 196,305 and 302,157

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Solution

The third proportional to 196,305 and 302,157 is: 465,086.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,305 : 302,157 = 302,157 : x
  2. Step 2: Convert to fraction form
    196,305/302,157 = 302,157/x
  3. Step 3: Cross multiply
    196,305x = 302,157 × 302,157
  4. Step 4: Simplify right side
    196,305x = 91,298,852,649
  5. Step 5: Solve for x
    x = 91,298,852,649/196,305
  6. Step 6: Final answer
    x = 465,086.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.