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Finding the Third Proportional to 857.50 and 1,299.50

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Solution

The third proportional to 857.50 and 1,299.50 is: 1,969.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.50 : 1,299.50 = 1,299.50 : x
  2. Step 2: Convert to fraction form
    857.50/1,299.50 = 1,299.50/x
  3. Step 3: Cross multiply
    857.50x = 1,299.50 × 1,299.50
  4. Step 4: Simplify right side
    857.50x = 1,688,700.25
  5. Step 5: Solve for x
    x = 1,688,700.25/857.50
  6. Step 6: Final answer
    x = 1,969.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.