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Finding the Third Proportional to 211,164 and 334,356

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Solution

The third proportional to 211,164 and 334,356 is: 529,417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,164 : 334,356 = 334,356 : x
  2. Step 2: Convert to fraction form
    211,164/334,356 = 334,356/x
  3. Step 3: Cross multiply
    211,164x = 334,356 × 334,356
  4. Step 4: Simplify right side
    211,164x = 111,793,934,736
  5. Step 5: Solve for x
    x = 111,793,934,736/211,164
  6. Step 6: Final answer
    x = 529,417.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.