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Finding the Third Proportional to 189,598.50 and 402,525

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Solution

The third proportional to 189,598.50 and 402,525 is: 854,576.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,598.50 : 402,525 = 402,525 : x
  2. Step 2: Convert to fraction form
    189,598.50/402,525 = 402,525/x
  3. Step 3: Cross multiply
    189,598.50x = 402,525 × 402,525
  4. Step 4: Simplify right side
    189,598.50x = 162,026,375,625
  5. Step 5: Solve for x
    x = 162,026,375,625/189,598.50
  6. Step 6: Final answer
    x = 854,576.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.