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Finding the Third Proportional to 182,610 and 289,756

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Solution

The third proportional to 182,610 and 289,756 is: 459,769.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,610 : 289,756 = 289,756 : x
  2. Step 2: Convert to fraction form
    182,610/289,756 = 289,756/x
  3. Step 3: Cross multiply
    182,610x = 289,756 × 289,756
  4. Step 4: Simplify right side
    182,610x = 83,958,539,536
  5. Step 5: Solve for x
    x = 83,958,539,536/182,610
  6. Step 6: Final answer
    x = 459,769.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.