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Finding the Third Proportional to 152,172 and 327,024

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Solution

The third proportional to 152,172 and 327,024 is: 702,788.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,172 : 327,024 = 327,024 : x
  2. Step 2: Convert to fraction form
    152,172/327,024 = 327,024/x
  3. Step 3: Cross multiply
    152,172x = 327,024 × 327,024
  4. Step 4: Simplify right side
    152,172x = 106,944,696,576
  5. Step 5: Solve for x
    x = 106,944,696,576/152,172
  6. Step 6: Final answer
    x = 702,788.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.