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Finding the Third Proportional to 203,045 and 298,681

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Solution

The third proportional to 203,045 and 298,681 is: 439,362.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,045 : 298,681 = 298,681 : x
  2. Step 2: Convert to fraction form
    203,045/298,681 = 298,681/x
  3. Step 3: Cross multiply
    203,045x = 298,681 × 298,681
  4. Step 4: Simplify right side
    203,045x = 89,210,339,761
  5. Step 5: Solve for x
    x = 89,210,339,761/203,045
  6. Step 6: Final answer
    x = 439,362.41

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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.