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Finding the Third Proportional to 131,152 and 281,410

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Solution

The third proportional to 131,152 and 281,410 is: 603,815.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,152 : 281,410 = 281,410 : x
  2. Step 2: Convert to fraction form
    131,152/281,410 = 281,410/x
  3. Step 3: Cross multiply
    131,152x = 281,410 × 281,410
  4. Step 4: Simplify right side
    131,152x = 79,191,588,100
  5. Step 5: Solve for x
    x = 79,191,588,100/131,152
  6. Step 6: Final answer
    x = 603,815.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.