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Finding the Third Proportional to 213,298 and 319,620

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Solution

The third proportional to 213,298 and 319,620 is: 478,940.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,298 : 319,620 = 319,620 : x
  2. Step 2: Convert to fraction form
    213,298/319,620 = 319,620/x
  3. Step 3: Cross multiply
    213,298x = 319,620 × 319,620
  4. Step 4: Simplify right side
    213,298x = 102,156,944,400
  5. Step 5: Solve for x
    x = 102,156,944,400/213,298
  6. Step 6: Final answer
    x = 478,940.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.