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Finding the Third Proportional to 229,028 and 336,693

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Solution

The third proportional to 229,028 and 336,693 is: 494,970.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,028 : 336,693 = 336,693 : x
  2. Step 2: Convert to fraction form
    229,028/336,693 = 336,693/x
  3. Step 3: Cross multiply
    229,028x = 336,693 × 336,693
  4. Step 4: Simplify right side
    229,028x = 113,362,176,249
  5. Step 5: Solve for x
    x = 113,362,176,249/229,028
  6. Step 6: Final answer
    x = 494,970.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.