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Finding the Third Proportional to 195,897.38 and 424,399.78

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Solution

The third proportional to 195,897.38 and 424,399.78 is: 919,436.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,897.38 : 424,399.78 = 424,399.78 : x
  2. Step 2: Convert to fraction form
    195,897.38/424,399.78 = 424,399.78/x
  3. Step 3: Cross multiply
    195,897.38x = 424,399.78 × 424,399.78
  4. Step 4: Simplify right side
    195,897.38x = 180,115,174,325.05
  5. Step 5: Solve for x
    x = 180,115,174,325.05/195,897.38
  6. Step 6: Final answer
    x = 919,436.39

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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.