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Finding the Third Proportional to 145,982.25 and 213,232.50

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Solution

The third proportional to 145,982.25 and 213,232.50 is: 311,463.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,982.25 : 213,232.50 = 213,232.50 : x
  2. Step 2: Convert to fraction form
    145,982.25/213,232.50 = 213,232.50/x
  3. Step 3: Cross multiply
    145,982.25x = 213,232.50 × 213,232.50
  4. Step 4: Simplify right side
    145,982.25x = 45,468,099,056.25
  5. Step 5: Solve for x
    x = 45,468,099,056.25/145,982.25
  6. Step 6: Final answer
    x = 311,463.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.