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Finding the Third Proportional to 159,871.50 and 353,090.25

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Solution

The third proportional to 159,871.50 and 353,090.25 is: 779,830.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,871.50 : 353,090.25 = 353,090.25 : x
  2. Step 2: Convert to fraction form
    159,871.50/353,090.25 = 353,090.25/x
  3. Step 3: Cross multiply
    159,871.50x = 353,090.25 × 353,090.25
  4. Step 4: Simplify right side
    159,871.50x = 124,672,724,645.06
  5. Step 5: Solve for x
    x = 124,672,724,645.06/159,871.50
  6. Step 6: Final answer
    x = 779,830.83

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.