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Finding the Third Proportional to 243,024 and 327,159

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Solution

The third proportional to 243,024 and 327,159 is: 440,421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,024 : 327,159 = 327,159 : x
  2. Step 2: Convert to fraction form
    243,024/327,159 = 327,159/x
  3. Step 3: Cross multiply
    243,024x = 327,159 × 327,159
  4. Step 4: Simplify right side
    243,024x = 107,033,011,281
  5. Step 5: Solve for x
    x = 107,033,011,281/243,024
  6. Step 6: Final answer
    x = 440,421.57

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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.