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Finding the Third Proportional to 180,598 and 373,940

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Solution

The third proportional to 180,598 and 373,940 is: 774,267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,598 : 373,940 = 373,940 : x
  2. Step 2: Convert to fraction form
    180,598/373,940 = 373,940/x
  3. Step 3: Cross multiply
    180,598x = 373,940 × 373,940
  4. Step 4: Simplify right side
    180,598x = 139,831,123,600
  5. Step 5: Solve for x
    x = 139,831,123,600/180,598
  6. Step 6: Final answer
    x = 774,267.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.