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Finding the Third Proportional to 179,457 and 260,833

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Solution

The third proportional to 179,457 and 260,833 is: 379,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,457 : 260,833 = 260,833 : x
  2. Step 2: Convert to fraction form
    179,457/260,833 = 260,833/x
  3. Step 3: Cross multiply
    179,457x = 260,833 × 260,833
  4. Step 4: Simplify right side
    179,457x = 68,033,853,889
  5. Step 5: Solve for x
    x = 68,033,853,889/179,457
  6. Step 6: Final answer
    x = 379,109.50

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.