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Finding the Third Proportional to 211,464 and 311,352

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Solution

The third proportional to 211,464 and 311,352 is: 458,423.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,464 : 311,352 = 311,352 : x
  2. Step 2: Convert to fraction form
    211,464/311,352 = 311,352/x
  3. Step 3: Cross multiply
    211,464x = 311,352 × 311,352
  4. Step 4: Simplify right side
    211,464x = 96,940,067,904
  5. Step 5: Solve for x
    x = 96,940,067,904/211,464
  6. Step 6: Final answer
    x = 458,423.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.