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Finding the Third Proportional to 195,676.88 and 424,814.63

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Solution

The third proportional to 195,676.88 and 424,814.63 is: 922,272.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,676.88 : 424,814.63 = 424,814.63 : x
  2. Step 2: Convert to fraction form
    195,676.88/424,814.63 = 424,814.63/x
  3. Step 3: Cross multiply
    195,676.88x = 424,814.63 × 424,814.63
  4. Step 4: Simplify right side
    195,676.88x = 180,467,465,613.89
  5. Step 5: Solve for x
    x = 180,467,465,613.89/195,676.88
  6. Step 6: Final answer
    x = 922,272.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.