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Finding the Third Proportional to 211,796 and 296,239

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Solution

The third proportional to 211,796 and 296,239 is: 414,349.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,796 : 296,239 = 296,239 : x
  2. Step 2: Convert to fraction form
    211,796/296,239 = 296,239/x
  3. Step 3: Cross multiply
    211,796x = 296,239 × 296,239
  4. Step 4: Simplify right side
    211,796x = 87,757,545,121
  5. Step 5: Solve for x
    x = 87,757,545,121/211,796
  6. Step 6: Final answer
    x = 414,349.40

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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.