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Finding the Third Proportional to 209,466 and 311,283

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Solution

The third proportional to 209,466 and 311,283 is: 462,591.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,466 : 311,283 = 311,283 : x
  2. Step 2: Convert to fraction form
    209,466/311,283 = 311,283/x
  3. Step 3: Cross multiply
    209,466x = 311,283 × 311,283
  4. Step 4: Simplify right side
    209,466x = 96,897,106,089
  5. Step 5: Solve for x
    x = 96,897,106,089/209,466
  6. Step 6: Final answer
    x = 462,591.09

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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.