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Finding the Third Proportional to 200,744 and 295,576

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Solution

The third proportional to 200,744 and 295,576 is: 435,206.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,744 : 295,576 = 295,576 : x
  2. Step 2: Convert to fraction form
    200,744/295,576 = 295,576/x
  3. Step 3: Cross multiply
    200,744x = 295,576 × 295,576
  4. Step 4: Simplify right side
    200,744x = 87,365,171,776
  5. Step 5: Solve for x
    x = 87,365,171,776/200,744
  6. Step 6: Final answer
    x = 435,206.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.