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Finding the Third Proportional to 173,205 and 372,201

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Solution

The third proportional to 173,205 and 372,201 is: 799,824.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,205 : 372,201 = 372,201 : x
  2. Step 2: Convert to fraction form
    173,205/372,201 = 372,201/x
  3. Step 3: Cross multiply
    173,205x = 372,201 × 372,201
  4. Step 4: Simplify right side
    173,205x = 138,533,584,401
  5. Step 5: Solve for x
    x = 138,533,584,401/173,205
  6. Step 6: Final answer
    x = 799,824.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.