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Finding the Third Proportional to 143,576 and 294,316

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Solution

The third proportional to 143,576 and 294,316 is: 603,317.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,576 : 294,316 = 294,316 : x
  2. Step 2: Convert to fraction form
    143,576/294,316 = 294,316/x
  3. Step 3: Cross multiply
    143,576x = 294,316 × 294,316
  4. Step 4: Simplify right side
    143,576x = 86,621,907,856
  5. Step 5: Solve for x
    x = 86,621,907,856/143,576
  6. Step 6: Final answer
    x = 603,317.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.