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Finding the Third Proportional to 156,145.50 and 335,970

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Solution

The third proportional to 156,145.50 and 335,970 is: 722,888.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,145.50 : 335,970 = 335,970 : x
  2. Step 2: Convert to fraction form
    156,145.50/335,970 = 335,970/x
  3. Step 3: Cross multiply
    156,145.50x = 335,970 × 335,970
  4. Step 4: Simplify right side
    156,145.50x = 112,875,840,900
  5. Step 5: Solve for x
    x = 112,875,840,900/156,145.50
  6. Step 6: Final answer
    x = 722,888.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.