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Finding the Third Proportional to 213,094.69 and 330,846.19

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Solution

The third proportional to 213,094.69 and 330,846.19 is: 513,664.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,094.69 : 330,846.19 = 330,846.19 : x
  2. Step 2: Convert to fraction form
    213,094.69/330,846.19 = 330,846.19/x
  3. Step 3: Cross multiply
    213,094.69x = 330,846.19 × 330,846.19
  4. Step 4: Simplify right side
    213,094.69x = 109,459,199,783.29
  5. Step 5: Solve for x
    x = 109,459,199,783.29/213,094.69
  6. Step 6: Final answer
    x = 513,664.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.