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Finding the Third Proportional to 219,212 and 297,064

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Solution

The third proportional to 219,212 and 297,064 is: 402,564.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,212 : 297,064 = 297,064 : x
  2. Step 2: Convert to fraction form
    219,212/297,064 = 297,064/x
  3. Step 3: Cross multiply
    219,212x = 297,064 × 297,064
  4. Step 4: Simplify right side
    219,212x = 88,247,020,096
  5. Step 5: Solve for x
    x = 88,247,020,096/219,212
  6. Step 6: Final answer
    x = 402,564.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.