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Finding the Third Proportional to 227,476.50 and 350,701.50

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Solution

The third proportional to 227,476.50 and 350,701.50 is: 540,678.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,476.50 : 350,701.50 = 350,701.50 : x
  2. Step 2: Convert to fraction form
    227,476.50/350,701.50 = 350,701.50/x
  3. Step 3: Cross multiply
    227,476.50x = 350,701.50 × 350,701.50
  4. Step 4: Simplify right side
    227,476.50x = 122,991,542,102.25
  5. Step 5: Solve for x
    x = 122,991,542,102.25/227,476.50
  6. Step 6: Final answer
    x = 540,678.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.