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Finding the Third Proportional to 226,513.13 and 306,553.50

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Solution

The third proportional to 226,513.13 and 306,553.50 is: 414,876.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,513.13 : 306,553.50 = 306,553.50 : x
  2. Step 2: Convert to fraction form
    226,513.13/306,553.50 = 306,553.50/x
  3. Step 3: Cross multiply
    226,513.13x = 306,553.50 × 306,553.50
  4. Step 4: Simplify right side
    226,513.13x = 93,975,048,362.25
  5. Step 5: Solve for x
    x = 93,975,048,362.25/226,513.13
  6. Step 6: Final answer
    x = 414,876.83

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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.