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Finding the Third Proportional to 223,157 and 464,364

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Solution

The third proportional to 223,157 and 464,364 is: 966,287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,157 : 464,364 = 464,364 : x
  2. Step 2: Convert to fraction form
    223,157/464,364 = 464,364/x
  3. Step 3: Cross multiply
    223,157x = 464,364 × 464,364
  4. Step 4: Simplify right side
    223,157x = 215,633,924,496
  5. Step 5: Solve for x
    x = 215,633,924,496/223,157
  6. Step 6: Final answer
    x = 966,287.97

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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.