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Finding the Third Proportional to 196,320 and 302,157

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Solution

The third proportional to 196,320 and 302,157 is: 465,051.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,320 : 302,157 = 302,157 : x
  2. Step 2: Convert to fraction form
    196,320/302,157 = 302,157/x
  3. Step 3: Cross multiply
    196,320x = 302,157 × 302,157
  4. Step 4: Simplify right side
    196,320x = 91,298,852,649
  5. Step 5: Solve for x
    x = 91,298,852,649/196,320
  6. Step 6: Final answer
    x = 465,051.21

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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.