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Finding the Third Proportional to 152,021 and 210,625

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Solution

The third proportional to 152,021 and 210,625 is: 291,820.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,021 : 210,625 = 210,625 : x
  2. Step 2: Convert to fraction form
    152,021/210,625 = 210,625/x
  3. Step 3: Cross multiply
    152,021x = 210,625 × 210,625
  4. Step 4: Simplify right side
    152,021x = 44,362,890,625
  5. Step 5: Solve for x
    x = 44,362,890,625/152,021
  6. Step 6: Final answer
    x = 291,820.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.