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Finding the Third Proportional to 135,400.50 and 202,807.50

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Solution

The third proportional to 135,400.50 and 202,807.50 is: 303,772.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,400.50 : 202,807.50 = 202,807.50 : x
  2. Step 2: Convert to fraction form
    135,400.50/202,807.50 = 202,807.50/x
  3. Step 3: Cross multiply
    135,400.50x = 202,807.50 × 202,807.50
  4. Step 4: Simplify right side
    135,400.50x = 41,130,882,056.25
  5. Step 5: Solve for x
    x = 41,130,882,056.25/135,400.50
  6. Step 6: Final answer
    x = 303,772.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.