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Finding the Third Proportional to 212,488 and 311,072

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Solution

The third proportional to 212,488 and 311,072 is: 455,394.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,488 : 311,072 = 311,072 : x
  2. Step 2: Convert to fraction form
    212,488/311,072 = 311,072/x
  3. Step 3: Cross multiply
    212,488x = 311,072 × 311,072
  4. Step 4: Simplify right side
    212,488x = 96,765,789,184
  5. Step 5: Solve for x
    x = 96,765,789,184/212,488
  6. Step 6: Final answer
    x = 455,394.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.