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Finding the Third Proportional to 857 and 1,221.50

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Solution

The third proportional to 857 and 1,221.50 is: 1,741.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    857 : 1,221.50 = 1,221.50 : x
  2. Step 2: Convert to fraction form
    857/1,221.50 = 1,221.50/x
  3. Step 3: Cross multiply
    857x = 1,221.50 × 1,221.50
  4. Step 4: Simplify right side
    857x = 1,492,062.25
  5. Step 5: Solve for x
    x = 1,492,062.25/857
  6. Step 6: Final answer
    x = 1,741.03

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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.