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Finding the Third Proportional to 243,028 and 327,165

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Solution

The third proportional to 243,028 and 327,165 is: 440,430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,028 : 327,165 = 327,165 : x
  2. Step 2: Convert to fraction form
    243,028/327,165 = 327,165/x
  3. Step 3: Cross multiply
    243,028x = 327,165 × 327,165
  4. Step 4: Simplify right side
    243,028x = 107,036,937,225
  5. Step 5: Solve for x
    x = 107,036,937,225/243,028
  6. Step 6: Final answer
    x = 440,430.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.