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Finding the Third Proportional to 159,362 and 223,343

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Solution

The third proportional to 159,362 and 223,343 is: 313,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,362 : 223,343 = 223,343 : x
  2. Step 2: Convert to fraction form
    159,362/223,343 = 223,343/x
  3. Step 3: Cross multiply
    159,362x = 223,343 × 223,343
  4. Step 4: Simplify right side
    159,362x = 49,882,095,649
  5. Step 5: Solve for x
    x = 49,882,095,649/159,362
  6. Step 6: Final answer
    x = 313,011.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.