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Finding the Third Proportional to 240,664.50 and 369,951.75

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Solution

The third proportional to 240,664.50 and 369,951.75 is: 568,693.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,664.50 : 369,951.75 = 369,951.75 : x
  2. Step 2: Convert to fraction form
    240,664.50/369,951.75 = 369,951.75/x
  3. Step 3: Cross multiply
    240,664.50x = 369,951.75 × 369,951.75
  4. Step 4: Simplify right side
    240,664.50x = 136,864,297,328.06
  5. Step 5: Solve for x
    x = 136,864,297,328.06/240,664.50
  6. Step 6: Final answer
    x = 568,693.34

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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.