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Finding the Third Proportional to 211,818 and 312,799

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Solution

The third proportional to 211,818 and 312,799 is: 461,921.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,818 : 312,799 = 312,799 : x
  2. Step 2: Convert to fraction form
    211,818/312,799 = 312,799/x
  3. Step 3: Cross multiply
    211,818x = 312,799 × 312,799
  4. Step 4: Simplify right side
    211,818x = 97,843,214,401
  5. Step 5: Solve for x
    x = 97,843,214,401/211,818
  6. Step 6: Final answer
    x = 461,921.15

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.