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Finding the Third Proportional to 240,698 and 374,205

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Solution

The third proportional to 240,698 and 374,205 is: 581,763.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,698 : 374,205 = 374,205 : x
  2. Step 2: Convert to fraction form
    240,698/374,205 = 374,205/x
  3. Step 3: Cross multiply
    240,698x = 374,205 × 374,205
  4. Step 4: Simplify right side
    240,698x = 140,029,382,025
  5. Step 5: Solve for x
    x = 140,029,382,025/240,698
  6. Step 6: Final answer
    x = 581,763.80

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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.