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Finding the Third Proportional to 159,664.50 and 266,096.25

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Solution

The third proportional to 159,664.50 and 266,096.25 is: 443,475.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,664.50 : 266,096.25 = 266,096.25 : x
  2. Step 2: Convert to fraction form
    159,664.50/266,096.25 = 266,096.25/x
  3. Step 3: Cross multiply
    159,664.50x = 266,096.25 × 266,096.25
  4. Step 4: Simplify right side
    159,664.50x = 70,807,214,264.06
  5. Step 5: Solve for x
    x = 70,807,214,264.06/159,664.50
  6. Step 6: Final answer
    x = 443,475.00

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.