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Finding the Third Proportional to 240,381 and 373,682

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Solution

The third proportional to 240,381 and 373,682 is: 580,903.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,381 : 373,682 = 373,682 : x
  2. Step 2: Convert to fraction form
    240,381/373,682 = 373,682/x
  3. Step 3: Cross multiply
    240,381x = 373,682 × 373,682
  4. Step 4: Simplify right side
    240,381x = 139,638,237,124
  5. Step 5: Solve for x
    x = 139,638,237,124/240,381
  6. Step 6: Final answer
    x = 580,903.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.