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Finding the Third Proportional to 155,226 and 330,804

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Solution

The third proportional to 155,226 and 330,804 is: 704,980.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,226 : 330,804 = 330,804 : x
  2. Step 2: Convert to fraction form
    155,226/330,804 = 330,804/x
  3. Step 3: Cross multiply
    155,226x = 330,804 × 330,804
  4. Step 4: Simplify right side
    155,226x = 109,431,286,416
  5. Step 5: Solve for x
    x = 109,431,286,416/155,226
  6. Step 6: Final answer
    x = 704,980.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.