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Finding the Third Proportional to 203,477.50 and 299,333.50

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Solution

The third proportional to 203,477.50 and 299,333.50 is: 440,346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,477.50 : 299,333.50 = 299,333.50 : x
  2. Step 2: Convert to fraction form
    203,477.50/299,333.50 = 299,333.50/x
  3. Step 3: Cross multiply
    203,477.50x = 299,333.50 × 299,333.50
  4. Step 4: Simplify right side
    203,477.50x = 89,600,544,222.25
  5. Step 5: Solve for x
    x = 89,600,544,222.25/203,477.50
  6. Step 6: Final answer
    x = 440,346.20

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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.