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Finding the Third Proportional to 214,026 and 317,958

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Solution

The third proportional to 214,026 and 317,958 is: 472,359.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,026 : 317,958 = 317,958 : x
  2. Step 2: Convert to fraction form
    214,026/317,958 = 317,958/x
  3. Step 3: Cross multiply
    214,026x = 317,958 × 317,958
  4. Step 4: Simplify right side
    214,026x = 101,097,289,764
  5. Step 5: Solve for x
    x = 101,097,289,764/214,026
  6. Step 6: Final answer
    x = 472,359.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.