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Finding the Third Proportional to 199,788 and 425,002.50

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Solution

The third proportional to 199,788 and 425,002.50 is: 904,093.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,788 : 425,002.50 = 425,002.50 : x
  2. Step 2: Convert to fraction form
    199,788/425,002.50 = 425,002.50/x
  3. Step 3: Cross multiply
    199,788x = 425,002.50 × 425,002.50
  4. Step 4: Simplify right side
    199,788x = 180,627,125,006.25
  5. Step 5: Solve for x
    x = 180,627,125,006.25/199,788
  6. Step 6: Final answer
    x = 904,093.96

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