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Finding the Third Proportional to 205,964 and 302,264

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Solution

The third proportional to 205,964 and 302,264 is: 443,589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,964 : 302,264 = 302,264 : x
  2. Step 2: Convert to fraction form
    205,964/302,264 = 302,264/x
  3. Step 3: Cross multiply
    205,964x = 302,264 × 302,264
  4. Step 4: Simplify right side
    205,964x = 91,363,525,696
  5. Step 5: Solve for x
    x = 91,363,525,696/205,964
  6. Step 6: Final answer
    x = 443,589.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.