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Finding the Third Proportional to 143,295 and 303,658.50

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Solution

The third proportional to 143,295 and 303,658.50 is: 643,487.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,295 : 303,658.50 = 303,658.50 : x
  2. Step 2: Convert to fraction form
    143,295/303,658.50 = 303,658.50/x
  3. Step 3: Cross multiply
    143,295x = 303,658.50 × 303,658.50
  4. Step 4: Simplify right side
    143,295x = 92,208,484,622.25
  5. Step 5: Solve for x
    x = 92,208,484,622.25/143,295
  6. Step 6: Final answer
    x = 643,487.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.