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Finding the Third Proportional to 240,689 and 374,195.50

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Solution

The third proportional to 240,689 and 374,195.50 is: 581,756.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,689 : 374,195.50 = 374,195.50 : x
  2. Step 2: Convert to fraction form
    240,689/374,195.50 = 374,195.50/x
  3. Step 3: Cross multiply
    240,689x = 374,195.50 × 374,195.50
  4. Step 4: Simplify right side
    240,689x = 140,022,272,220.25
  5. Step 5: Solve for x
    x = 140,022,272,220.25/240,689
  6. Step 6: Final answer
    x = 581,756.01

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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.