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Finding the Third Proportional to 223,310.25 and 464,663.25

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Solution

The third proportional to 223,310.25 and 464,663.25 is: 966,869.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,310.25 : 464,663.25 = 464,663.25 : x
  2. Step 2: Convert to fraction form
    223,310.25/464,663.25 = 464,663.25/x
  3. Step 3: Cross multiply
    223,310.25x = 464,663.25 × 464,663.25
  4. Step 4: Simplify right side
    223,310.25x = 215,911,935,900.56
  5. Step 5: Solve for x
    x = 215,911,935,900.56/223,310.25
  6. Step 6: Final answer
    x = 966,869.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.