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Finding the Third Proportional to 351 and 772.50

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Solution

The third proportional to 351 and 772.50 is: 1,700.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    351 : 772.50 = 772.50 : x
  2. Step 2: Convert to fraction form
    351/772.50 = 772.50/x
  3. Step 3: Cross multiply
    351x = 772.50 × 772.50
  4. Step 4: Simplify right side
    351x = 596,756.25
  5. Step 5: Solve for x
    x = 596,756.25/351
  6. Step 6: Final answer
    x = 1,700.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.