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Finding the Third Proportional to 219,406.22 and 349,094.81

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Solution

The third proportional to 219,406.22 and 349,094.81 is: 555,440.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,406.22 : 349,094.81 = 349,094.81 : x
  2. Step 2: Convert to fraction form
    219,406.22/349,094.81 = 349,094.81/x
  3. Step 3: Cross multiply
    219,406.22x = 349,094.81 × 349,094.81
  4. Step 4: Simplify right side
    219,406.22x = 121,867,188,114.41
  5. Step 5: Solve for x
    x = 121,867,188,114.41/219,406.22
  6. Step 6: Final answer
    x = 555,440.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.