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Finding the Third Proportional to 211,024 and 302,285

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Solution

The third proportional to 211,024 and 302,285 is: 433,013.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,024 : 302,285 = 302,285 : x
  2. Step 2: Convert to fraction form
    211,024/302,285 = 302,285/x
  3. Step 3: Cross multiply
    211,024x = 302,285 × 302,285
  4. Step 4: Simplify right side
    211,024x = 91,376,221,225
  5. Step 5: Solve for x
    x = 91,376,221,225/211,024
  6. Step 6: Final answer
    x = 433,013.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.