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Finding the Third Proportional to 157,994 and 338,224

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Solution

The third proportional to 157,994 and 338,224 is: 724,049.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,994 : 338,224 = 338,224 : x
  2. Step 2: Convert to fraction form
    157,994/338,224 = 338,224/x
  3. Step 3: Cross multiply
    157,994x = 338,224 × 338,224
  4. Step 4: Simplify right side
    157,994x = 114,395,474,176
  5. Step 5: Solve for x
    x = 114,395,474,176/157,994
  6. Step 6: Final answer
    x = 724,049.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.