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Finding the Third Proportional to 211,168 and 455,342

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Solution

The third proportional to 211,168 and 455,342 is: 981,854.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,168 : 455,342 = 455,342 : x
  2. Step 2: Convert to fraction form
    211,168/455,342 = 455,342/x
  3. Step 3: Cross multiply
    211,168x = 455,342 × 455,342
  4. Step 4: Simplify right side
    211,168x = 207,336,336,964
  5. Step 5: Solve for x
    x = 207,336,336,964/211,168
  6. Step 6: Final answer
    x = 981,854.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.