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Finding the Third Proportional to 173,229 and 360,225

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Solution

The third proportional to 173,229 and 360,225 is: 749,078.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,229 : 360,225 = 360,225 : x
  2. Step 2: Convert to fraction form
    173,229/360,225 = 360,225/x
  3. Step 3: Cross multiply
    173,229x = 360,225 × 360,225
  4. Step 4: Simplify right side
    173,229x = 129,762,050,625
  5. Step 5: Solve for x
    x = 129,762,050,625/173,229
  6. Step 6: Final answer
    x = 749,078.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.