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Finding the Third Proportional to 203,580 and 299,445

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Solution

The third proportional to 203,580 and 299,445 is: 440,452.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,580 : 299,445 = 299,445 : x
  2. Step 2: Convert to fraction form
    203,580/299,445 = 299,445/x
  3. Step 3: Cross multiply
    203,580x = 299,445 × 299,445
  4. Step 4: Simplify right side
    203,580x = 89,667,308,025
  5. Step 5: Solve for x
    x = 89,667,308,025/203,580
  6. Step 6: Final answer
    x = 440,452.44

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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.