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Finding the Third Proportional to 223,306 and 303,236

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Solution

The third proportional to 223,306 and 303,236 is: 411,776.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,306 : 303,236 = 303,236 : x
  2. Step 2: Convert to fraction form
    223,306/303,236 = 303,236/x
  3. Step 3: Cross multiply
    223,306x = 303,236 × 303,236
  4. Step 4: Simplify right side
    223,306x = 91,952,071,696
  5. Step 5: Solve for x
    x = 91,952,071,696/223,306
  6. Step 6: Final answer
    x = 411,776.09

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.