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Finding the Third Proportional to 240,466.50 and 375,257.25

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Solution

The third proportional to 240,466.50 and 375,257.25 is: 585,603.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,466.50 : 375,257.25 = 375,257.25 : x
  2. Step 2: Convert to fraction form
    240,466.50/375,257.25 = 375,257.25/x
  3. Step 3: Cross multiply
    240,466.50x = 375,257.25 × 375,257.25
  4. Step 4: Simplify right side
    240,466.50x = 140,818,003,677.56
  5. Step 5: Solve for x
    x = 140,818,003,677.56/240,466.50
  6. Step 6: Final answer
    x = 585,603.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.