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Finding the Third Proportional to 240,846.75 and 375,058.69

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Solution

The third proportional to 240,846.75 and 375,058.69 is: 584,060.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,846.75 : 375,058.69 = 375,058.69 : x
  2. Step 2: Convert to fraction form
    240,846.75/375,058.69 = 375,058.69/x
  3. Step 3: Cross multiply
    240,846.75x = 375,058.69 × 375,058.69
  4. Step 4: Simplify right side
    240,846.75x = 140,669,019,069.22
  5. Step 5: Solve for x
    x = 140,669,019,069.22/240,846.75
  6. Step 6: Final answer
    x = 584,060.28

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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.