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Finding the Third Proportional to 203,479.50 and 299,336.25

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Solution

The third proportional to 203,479.50 and 299,336.25 is: 440,349.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,479.50 : 299,336.25 = 299,336.25 : x
  2. Step 2: Convert to fraction form
    203,479.50/299,336.25 = 299,336.25/x
  3. Step 3: Cross multiply
    203,479.50x = 299,336.25 × 299,336.25
  4. Step 4: Simplify right side
    203,479.50x = 89,602,190,564.06
  5. Step 5: Solve for x
    x = 89,602,190,564.06/203,479.50
  6. Step 6: Final answer
    x = 440,349.96

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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.