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Finding the Third Proportional to 199,804 and 425,032

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Solution

The third proportional to 199,804 and 425,032 is: 904,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,804 : 425,032 = 425,032 : x
  2. Step 2: Convert to fraction form
    199,804/425,032 = 425,032/x
  3. Step 3: Cross multiply
    199,804x = 425,032 × 425,032
  4. Step 4: Simplify right side
    199,804x = 180,652,201,024
  5. Step 5: Solve for x
    x = 180,652,201,024/199,804
  6. Step 6: Final answer
    x = 904,147.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.