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Finding the Third Proportional to 225,913.50 and 301,184.25

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Solution

The third proportional to 225,913.50 and 301,184.25 is: 401,534.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,913.50 : 301,184.25 = 301,184.25 : x
  2. Step 2: Convert to fraction form
    225,913.50/301,184.25 = 301,184.25/x
  3. Step 3: Cross multiply
    225,913.50x = 301,184.25 × 301,184.25
  4. Step 4: Simplify right side
    225,913.50x = 90,711,952,448.06
  5. Step 5: Solve for x
    x = 90,711,952,448.06/225,913.50
  6. Step 6: Final answer
    x = 401,534.01

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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.