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Finding the Third Proportional to 220,261.50 and 350,084.25

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Solution

The third proportional to 220,261.50 and 350,084.25 is: 556,424.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,261.50 : 350,084.25 = 350,084.25 : x
  2. Step 2: Convert to fraction form
    220,261.50/350,084.25 = 350,084.25/x
  3. Step 3: Cross multiply
    220,261.50x = 350,084.25 × 350,084.25
  4. Step 4: Simplify right side
    220,261.50x = 122,558,982,098.06
  5. Step 5: Solve for x
    x = 122,558,982,098.06/220,261.50
  6. Step 6: Final answer
    x = 556,424.90

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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.