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Finding the Third Proportional to 277.50 and 397.50

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Solution

The third proportional to 277.50 and 397.50 is: 569.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.50 : 397.50 = 397.50 : x
  2. Step 2: Convert to fraction form
    277.50/397.50 = 397.50/x
  3. Step 3: Cross multiply
    277.50x = 397.50 × 397.50
  4. Step 4: Simplify right side
    277.50x = 158,006.25
  5. Step 5: Solve for x
    x = 158,006.25/277.50
  6. Step 6: Final answer
    x = 569.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.