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Finding the Third Proportional to 225,847.50 and 301,094.25

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Solution

The third proportional to 225,847.50 and 301,094.25 is: 401,411.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,847.50 : 301,094.25 = 301,094.25 : x
  2. Step 2: Convert to fraction form
    225,847.50/301,094.25 = 301,094.25/x
  3. Step 3: Cross multiply
    225,847.50x = 301,094.25 × 301,094.25
  4. Step 4: Simplify right side
    225,847.50x = 90,657,747,383.06
  5. Step 5: Solve for x
    x = 90,657,747,383.06/225,847.50
  6. Step 6: Final answer
    x = 401,411.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.