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Finding the Third Proportional to 152,804 and 328,180

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Solution

The third proportional to 152,804 and 328,180 is: 704,838.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,804 : 328,180 = 328,180 : x
  2. Step 2: Convert to fraction form
    152,804/328,180 = 328,180/x
  3. Step 3: Cross multiply
    152,804x = 328,180 × 328,180
  4. Step 4: Simplify right side
    152,804x = 107,702,112,400
  5. Step 5: Solve for x
    x = 107,702,112,400/152,804
  6. Step 6: Final answer
    x = 704,838.31

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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.