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Finding the Third Proportional to 196,364 and 302,265

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Solution

The third proportional to 196,364 and 302,265 is: 465,279.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,364 : 302,265 = 302,265 : x
  2. Step 2: Convert to fraction form
    196,364/302,265 = 302,265/x
  3. Step 3: Cross multiply
    196,364x = 302,265 × 302,265
  4. Step 4: Simplify right side
    196,364x = 91,364,130,225
  5. Step 5: Solve for x
    x = 91,364,130,225/196,364
  6. Step 6: Final answer
    x = 465,279.43

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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.