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Finding the Third Proportional to 152,751 and 329,010

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Solution

The third proportional to 152,751 and 329,010 is: 708,653.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,751 : 329,010 = 329,010 : x
  2. Step 2: Convert to fraction form
    152,751/329,010 = 329,010/x
  3. Step 3: Cross multiply
    152,751x = 329,010 × 329,010
  4. Step 4: Simplify right side
    152,751x = 108,247,580,100
  5. Step 5: Solve for x
    x = 108,247,580,100/152,751
  6. Step 6: Final answer
    x = 708,653.82

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