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Finding the Third Proportional to 152,978.50 and 331,376

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Solution

The third proportional to 152,978.50 and 331,376 is: 717,813.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,978.50 : 331,376 = 331,376 : x
  2. Step 2: Convert to fraction form
    152,978.50/331,376 = 331,376/x
  3. Step 3: Cross multiply
    152,978.50x = 331,376 × 331,376
  4. Step 4: Simplify right side
    152,978.50x = 109,810,053,376
  5. Step 5: Solve for x
    x = 109,810,053,376/152,978.50
  6. Step 6: Final answer
    x = 717,813.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.