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Finding the Third Proportional to 226,050.75 and 349,706.25

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Solution

The third proportional to 226,050.75 and 349,706.25 is: 541,004.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,050.75 : 349,706.25 = 349,706.25 : x
  2. Step 2: Convert to fraction form
    226,050.75/349,706.25 = 349,706.25/x
  3. Step 3: Cross multiply
    226,050.75x = 349,706.25 × 349,706.25
  4. Step 4: Simplify right side
    226,050.75x = 122,294,461,289.06
  5. Step 5: Solve for x
    x = 122,294,461,289.06/226,050.75
  6. Step 6: Final answer
    x = 541,004.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.