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Finding the Third Proportional to 221,294 and 335,285

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Solution

The third proportional to 221,294 and 335,285 is: 507,994.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,294 : 335,285 = 335,285 : x
  2. Step 2: Convert to fraction form
    221,294/335,285 = 335,285/x
  3. Step 3: Cross multiply
    221,294x = 335,285 × 335,285
  4. Step 4: Simplify right side
    221,294x = 112,416,031,225
  5. Step 5: Solve for x
    x = 112,416,031,225/221,294
  6. Step 6: Final answer
    x = 507,994.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.