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Finding the Third Proportional to 226,398 and 306,382

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Solution

The third proportional to 226,398 and 306,382 is: 414,623.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,398 : 306,382 = 306,382 : x
  2. Step 2: Convert to fraction form
    226,398/306,382 = 306,382/x
  3. Step 3: Cross multiply
    226,398x = 306,382 × 306,382
  4. Step 4: Simplify right side
    226,398x = 93,869,929,924
  5. Step 5: Solve for x
    x = 93,869,929,924/226,398
  6. Step 6: Final answer
    x = 414,623.49

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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.