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Finding the Third Proportional to 152,025 and 210,631

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Solution

The third proportional to 152,025 and 210,631 is: 291,829.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,025 : 210,631 = 210,631 : x
  2. Step 2: Convert to fraction form
    152,025/210,631 = 210,631/x
  3. Step 3: Cross multiply
    152,025x = 210,631 × 210,631
  4. Step 4: Simplify right side
    152,025x = 44,365,418,161
  5. Step 5: Solve for x
    x = 44,365,418,161/152,025
  6. Step 6: Final answer
    x = 291,829.75

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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.