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Finding the Third Proportional to 220,778.16 and 350,168.06

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Solution

The third proportional to 220,778.16 and 350,168.06 is: 555,388.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,778.16 : 350,168.06 = 350,168.06 : x
  2. Step 2: Convert to fraction form
    220,778.16/350,168.06 = 350,168.06/x
  3. Step 3: Cross multiply
    220,778.16x = 350,168.06 × 350,168.06
  4. Step 4: Simplify right side
    220,778.16x = 122,617,671,995.00
  5. Step 5: Solve for x
    x = 122,617,671,995.00/220,778.16
  6. Step 6: Final answer
    x = 555,388.60

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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.