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Finding the Third Proportional to 205,072 and 275,928

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Solution

The third proportional to 205,072 and 275,928 is: 371,266.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,072 : 275,928 = 275,928 : x
  2. Step 2: Convert to fraction form
    205,072/275,928 = 275,928/x
  3. Step 3: Cross multiply
    205,072x = 275,928 × 275,928
  4. Step 4: Simplify right side
    205,072x = 76,136,261,184
  5. Step 5: Solve for x
    x = 76,136,261,184/205,072
  6. Step 6: Final answer
    x = 371,266.00

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.