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Finding the Third Proportional to 143,532.84 and 305,208.84

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Solution

The third proportional to 143,532.84 and 305,208.84 is: 648,997.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,532.84 : 305,208.84 = 305,208.84 : x
  2. Step 2: Convert to fraction form
    143,532.84/305,208.84 = 305,208.84/x
  3. Step 3: Cross multiply
    143,532.84x = 305,208.84 × 305,208.84
  4. Step 4: Simplify right side
    143,532.84x = 93,152,438,303.21
  5. Step 5: Solve for x
    x = 93,152,438,303.21/143,532.84
  6. Step 6: Final answer
    x = 648,997.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.