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Finding the Third Proportional to 110,825 and 235,495

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Solution

The third proportional to 110,825 and 235,495 is: 500,409.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,825 : 235,495 = 235,495 : x
  2. Step 2: Convert to fraction form
    110,825/235,495 = 235,495/x
  3. Step 3: Cross multiply
    110,825x = 235,495 × 235,495
  4. Step 4: Simplify right side
    110,825x = 55,457,895,025
  5. Step 5: Solve for x
    x = 55,457,895,025/110,825
  6. Step 6: Final answer
    x = 500,409.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.