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Finding the Third Proportional to 265,966.03 and 399,223.69

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Solution

The third proportional to 265,966.03 and 399,223.69 is: 599,247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,966.03 : 399,223.69 = 399,223.69 : x
  2. Step 2: Convert to fraction form
    265,966.03/399,223.69 = 399,223.69/x
  3. Step 3: Cross multiply
    265,966.03x = 399,223.69 × 399,223.69
  4. Step 4: Simplify right side
    265,966.03x = 159,379,552,661.10
  5. Step 5: Solve for x
    x = 159,379,552,661.10/265,966.03
  6. Step 6: Final answer
    x = 599,247.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.