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Finding the Third Proportional to 210,283 and 302,266

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Solution

The third proportional to 210,283 and 302,266 is: 434,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,283 : 302,266 = 302,266 : x
  2. Step 2: Convert to fraction form
    210,283/302,266 = 302,266/x
  3. Step 3: Cross multiply
    210,283x = 302,266 × 302,266
  4. Step 4: Simplify right side
    210,283x = 91,364,734,756
  5. Step 5: Solve for x
    x = 91,364,734,756/210,283
  6. Step 6: Final answer
    x = 434,484.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.