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Finding the Third Proportional to 211,184 and 307,272

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Solution

The third proportional to 211,184 and 307,272 is: 447,079.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,184 : 307,272 = 307,272 : x
  2. Step 2: Convert to fraction form
    211,184/307,272 = 307,272/x
  3. Step 3: Cross multiply
    211,184x = 307,272 × 307,272
  4. Step 4: Simplify right side
    211,184x = 94,416,081,984
  5. Step 5: Solve for x
    x = 94,416,081,984/211,184
  6. Step 6: Final answer
    x = 447,079.71

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.