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Finding the Third Proportional to 220,094.72 and 349,840.27

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Solution

The third proportional to 220,094.72 and 349,840.27 is: 556,070.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,094.72 : 349,840.27 = 349,840.27 : x
  2. Step 2: Convert to fraction form
    220,094.72/349,840.27 = 349,840.27/x
  3. Step 3: Cross multiply
    220,094.72x = 349,840.27 × 349,840.27
  4. Step 4: Simplify right side
    220,094.72x = 122,388,211,452.57
  5. Step 5: Solve for x
    x = 122,388,211,452.57/220,094.72
  6. Step 6: Final answer
    x = 556,070.64

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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.