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Finding the Third Proportional to 203,827.50 and 299,749.50

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Solution

The third proportional to 203,827.50 and 299,749.50 is: 440,812.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,827.50 : 299,749.50 = 299,749.50 : x
  2. Step 2: Convert to fraction form
    203,827.50/299,749.50 = 299,749.50/x
  3. Step 3: Cross multiply
    203,827.50x = 299,749.50 × 299,749.50
  4. Step 4: Simplify right side
    203,827.50x = 89,849,762,750.25
  5. Step 5: Solve for x
    x = 89,849,762,750.25/203,827.50
  6. Step 6: Final answer
    x = 440,812.76

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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.