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Finding the Third Proportional to 200,748 and 275,276

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Solution

The third proportional to 200,748 and 275,276 is: 377,472.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,748 : 275,276 = 275,276 : x
  2. Step 2: Convert to fraction form
    200,748/275,276 = 275,276/x
  3. Step 3: Cross multiply
    200,748x = 275,276 × 275,276
  4. Step 4: Simplify right side
    200,748x = 75,776,876,176
  5. Step 5: Solve for x
    x = 75,776,876,176/200,748
  6. Step 6: Final answer
    x = 377,472.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.