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Finding the Third Proportional to 200,888 and 294,771

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Solution

The third proportional to 200,888 and 294,771 is: 432,529.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,888 : 294,771 = 294,771 : x
  2. Step 2: Convert to fraction form
    200,888/294,771 = 294,771/x
  3. Step 3: Cross multiply
    200,888x = 294,771 × 294,771
  4. Step 4: Simplify right side
    200,888x = 86,889,942,441
  5. Step 5: Solve for x
    x = 86,889,942,441/200,888
  6. Step 6: Final answer
    x = 432,529.28

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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.