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Finding the Third Proportional to 152,170 and 228,715

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Solution

The third proportional to 152,170 and 228,715 is: 343,763.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,170 : 228,715 = 228,715 : x
  2. Step 2: Convert to fraction form
    152,170/228,715 = 228,715/x
  3. Step 3: Cross multiply
    152,170x = 228,715 × 228,715
  4. Step 4: Simplify right side
    152,170x = 52,310,551,225
  5. Step 5: Solve for x
    x = 52,310,551,225/152,170
  6. Step 6: Final answer
    x = 343,763.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.