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Finding the Third Proportional to 189,164 and 403,600

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Solution

The third proportional to 189,164 and 403,600 is: 861,120.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,164 : 403,600 = 403,600 : x
  2. Step 2: Convert to fraction form
    189,164/403,600 = 403,600/x
  3. Step 3: Cross multiply
    189,164x = 403,600 × 403,600
  4. Step 4: Simplify right side
    189,164x = 162,892,960,000
  5. Step 5: Solve for x
    x = 162,892,960,000/189,164
  6. Step 6: Final answer
    x = 861,120.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.