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Finding the Third Proportional to 278 and 750.50

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Solution

The third proportional to 278 and 750.50 is: 2,026.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    278 : 750.50 = 750.50 : x
  2. Step 2: Convert to fraction form
    278/750.50 = 750.50/x
  3. Step 3: Cross multiply
    278x = 750.50 × 750.50
  4. Step 4: Simplify right side
    278x = 563,250.25
  5. Step 5: Solve for x
    x = 563,250.25/278
  6. Step 6: Final answer
    x = 2,026.08

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.