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Finding the Third Proportional to 208,402.88 and 301,122.56

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Solution

The third proportional to 208,402.88 and 301,122.56 is: 435,093.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,402.88 : 301,122.56 = 301,122.56 : x
  2. Step 2: Convert to fraction form
    208,402.88/301,122.56 = 301,122.56/x
  3. Step 3: Cross multiply
    208,402.88x = 301,122.56 × 301,122.56
  4. Step 4: Simplify right side
    208,402.88x = 90,674,797,646.57
  5. Step 5: Solve for x
    x = 90,674,797,646.57/208,402.88
  6. Step 6: Final answer
    x = 435,093.79

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.