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Finding the Third Proportional to 200,072 and 288,588

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Solution

The third proportional to 200,072 and 288,588 is: 416,265.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,072 : 288,588 = 288,588 : x
  2. Step 2: Convert to fraction form
    200,072/288,588 = 288,588/x
  3. Step 3: Cross multiply
    200,072x = 288,588 × 288,588
  4. Step 4: Simplify right side
    200,072x = 83,283,033,744
  5. Step 5: Solve for x
    x = 83,283,033,744/200,072
  6. Step 6: Final answer
    x = 416,265.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.