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Finding the Third Proportional to 173,502 and 380,214

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Solution

The third proportional to 173,502 and 380,214 is: 833,204.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,502 : 380,214 = 380,214 : x
  2. Step 2: Convert to fraction form
    173,502/380,214 = 380,214/x
  3. Step 3: Cross multiply
    173,502x = 380,214 × 380,214
  4. Step 4: Simplify right side
    173,502x = 144,562,685,796
  5. Step 5: Solve for x
    x = 144,562,685,796/173,502
  6. Step 6: Final answer
    x = 833,204.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.