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Finding the Third Proportional to 226,597.50 and 333,632.25

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Solution

The third proportional to 226,597.50 and 333,632.25 is: 491,225.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,597.50 : 333,632.25 = 333,632.25 : x
  2. Step 2: Convert to fraction form
    226,597.50/333,632.25 = 333,632.25/x
  3. Step 3: Cross multiply
    226,597.50x = 333,632.25 × 333,632.25
  4. Step 4: Simplify right side
    226,597.50x = 111,310,478,240.06
  5. Step 5: Solve for x
    x = 111,310,478,240.06/226,597.50
  6. Step 6: Final answer
    x = 491,225.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.