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Finding the Third Proportional to 159,954 and 350,038.50

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Solution

The third proportional to 159,954 and 350,038.50 is: 766,013.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,954 : 350,038.50 = 350,038.50 : x
  2. Step 2: Convert to fraction form
    159,954/350,038.50 = 350,038.50/x
  3. Step 3: Cross multiply
    159,954x = 350,038.50 × 350,038.50
  4. Step 4: Simplify right side
    159,954x = 122,526,951,482.25
  5. Step 5: Solve for x
    x = 122,526,951,482.25/159,954
  6. Step 6: Final answer
    x = 766,013.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.