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Finding the Third Proportional to 211,166 and 334,359

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Solution

The third proportional to 211,166 and 334,359 is: 529,422.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,166 : 334,359 = 334,359 : x
  2. Step 2: Convert to fraction form
    211,166/334,359 = 334,359/x
  3. Step 3: Cross multiply
    211,166x = 334,359 × 334,359
  4. Step 4: Simplify right side
    211,166x = 111,795,940,881
  5. Step 5: Solve for x
    x = 111,795,940,881/211,166
  6. Step 6: Final answer
    x = 529,422.07

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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.