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Finding the Third Proportional to 240,343.50 and 377,013

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Solution

The third proportional to 240,343.50 and 377,013 is: 591,398.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,343.50 : 377,013 = 377,013 : x
  2. Step 2: Convert to fraction form
    240,343.50/377,013 = 377,013/x
  3. Step 3: Cross multiply
    240,343.50x = 377,013 × 377,013
  4. Step 4: Simplify right side
    240,343.50x = 142,138,802,169
  5. Step 5: Solve for x
    x = 142,138,802,169/240,343.50
  6. Step 6: Final answer
    x = 591,398.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.