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Finding the Third Proportional to 196,368 and 302,271

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Solution

The third proportional to 196,368 and 302,271 is: 465,288.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,368 : 302,271 = 302,271 : x
  2. Step 2: Convert to fraction form
    196,368/302,271 = 302,271/x
  3. Step 3: Cross multiply
    196,368x = 302,271 × 302,271
  4. Step 4: Simplify right side
    196,368x = 91,367,757,441
  5. Step 5: Solve for x
    x = 91,367,757,441/196,368
  6. Step 6: Final answer
    x = 465,288.43

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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.