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Finding the Third Proportional to 209,004 and 318,396

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Solution

The third proportional to 209,004 and 318,396 is: 485,043.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,004 : 318,396 = 318,396 : x
  2. Step 2: Convert to fraction form
    209,004/318,396 = 318,396/x
  3. Step 3: Cross multiply
    209,004x = 318,396 × 318,396
  4. Step 4: Simplify right side
    209,004x = 101,376,012,816
  5. Step 5: Solve for x
    x = 101,376,012,816/209,004
  6. Step 6: Final answer
    x = 485,043.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.