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Finding the Third Proportional to 226,371 and 306,341

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Solution

The third proportional to 226,371 and 306,341 is: 414,561.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,371 : 306,341 = 306,341 : x
  2. Step 2: Convert to fraction form
    226,371/306,341 = 306,341/x
  3. Step 3: Cross multiply
    226,371x = 306,341 × 306,341
  4. Step 4: Simplify right side
    226,371x = 93,844,808,281
  5. Step 5: Solve for x
    x = 93,844,808,281/226,371
  6. Step 6: Final answer
    x = 414,561.97

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.