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Finding the Third Proportional to 161,884 and 245,742

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Solution

The third proportional to 161,884 and 245,742 is: 373,039.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,884 : 245,742 = 245,742 : x
  2. Step 2: Convert to fraction form
    161,884/245,742 = 245,742/x
  3. Step 3: Cross multiply
    161,884x = 245,742 × 245,742
  4. Step 4: Simplify right side
    161,884x = 60,389,130,564
  5. Step 5: Solve for x
    x = 60,389,130,564/161,884
  6. Step 6: Final answer
    x = 373,039.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.