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Finding the Third Proportional to 152,746 and 328,999

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Solution

The third proportional to 152,746 and 328,999 is: 708,629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,746 : 328,999 = 328,999 : x
  2. Step 2: Convert to fraction form
    152,746/328,999 = 328,999/x
  3. Step 3: Cross multiply
    152,746x = 328,999 × 328,999
  4. Step 4: Simplify right side
    152,746x = 108,240,342,001
  5. Step 5: Solve for x
    x = 108,240,342,001/152,746
  6. Step 6: Final answer
    x = 708,629.63

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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.