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Finding the Third Proportional to 264,498.75 and 371,660.06

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Solution

The third proportional to 264,498.75 and 371,660.06 is: 522,237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,498.75 : 371,660.06 = 371,660.06 : x
  2. Step 2: Convert to fraction form
    264,498.75/371,660.06 = 371,660.06/x
  3. Step 3: Cross multiply
    264,498.75x = 371,660.06 × 371,660.06
  4. Step 4: Simplify right side
    264,498.75x = 138,131,202,057.50
  5. Step 5: Solve for x
    x = 138,131,202,057.50/264,498.75
  6. Step 6: Final answer
    x = 522,237.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.