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Finding the Third Proportional to 229,028 and 322,502

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Solution

The third proportional to 229,028 and 322,502 is: 454,125.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,028 : 322,502 = 322,502 : x
  2. Step 2: Convert to fraction form
    229,028/322,502 = 322,502/x
  3. Step 3: Cross multiply
    229,028x = 322,502 × 322,502
  4. Step 4: Simplify right side
    229,028x = 104,007,540,004
  5. Step 5: Solve for x
    x = 104,007,540,004/229,028
  6. Step 6: Final answer
    x = 454,125.87

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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.