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Finding the Third Proportional to 208,147 and 297,436.50

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Solution

The third proportional to 208,147 and 297,436.50 is: 425,028.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,147 : 297,436.50 = 297,436.50 : x
  2. Step 2: Convert to fraction form
    208,147/297,436.50 = 297,436.50/x
  3. Step 3: Cross multiply
    208,147x = 297,436.50 × 297,436.50
  4. Step 4: Simplify right side
    208,147x = 88,468,471,532.25
  5. Step 5: Solve for x
    x = 88,468,471,532.25/208,147
  6. Step 6: Final answer
    x = 425,028.81

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.