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Finding the Third Proportional to 240,657.75 and 369,940.50

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Solution

The third proportional to 240,657.75 and 369,940.50 is: 568,674.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,657.75 : 369,940.50 = 369,940.50 : x
  2. Step 2: Convert to fraction form
    240,657.75/369,940.50 = 369,940.50/x
  3. Step 3: Cross multiply
    240,657.75x = 369,940.50 × 369,940.50
  4. Step 4: Simplify right side
    240,657.75x = 136,855,973,540.25
  5. Step 5: Solve for x
    x = 136,855,973,540.25/240,657.75
  6. Step 6: Final answer
    x = 568,674.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.