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Finding the Third Proportional to 172,132 and 228,510

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Solution

The third proportional to 172,132 and 228,510 is: 303,353.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,132 : 228,510 = 228,510 : x
  2. Step 2: Convert to fraction form
    172,132/228,510 = 228,510/x
  3. Step 3: Cross multiply
    172,132x = 228,510 × 228,510
  4. Step 4: Simplify right side
    172,132x = 52,216,820,100
  5. Step 5: Solve for x
    x = 52,216,820,100/172,132
  6. Step 6: Final answer
    x = 303,353.36

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.