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Finding the Third Proportional to 228,062 and 320,798

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Solution

The third proportional to 228,062 and 320,798 is: 451,242.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,062 : 320,798 = 320,798 : x
  2. Step 2: Convert to fraction form
    228,062/320,798 = 320,798/x
  3. Step 3: Cross multiply
    228,062x = 320,798 × 320,798
  4. Step 4: Simplify right side
    228,062x = 102,911,356,804
  5. Step 5: Solve for x
    x = 102,911,356,804/228,062
  6. Step 6: Final answer
    x = 451,242.89

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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.