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Finding the Third Proportional to 152,811 and 336,210

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Solution

The third proportional to 152,811 and 336,210 is: 739,718.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,811 : 336,210 = 336,210 : x
  2. Step 2: Convert to fraction form
    152,811/336,210 = 336,210/x
  3. Step 3: Cross multiply
    152,811x = 336,210 × 336,210
  4. Step 4: Simplify right side
    152,811x = 113,037,164,100
  5. Step 5: Solve for x
    x = 113,037,164,100/152,811
  6. Step 6: Final answer
    x = 739,718.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.