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Finding the Third Proportional to 152,957.50 and 328,059

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Solution

The third proportional to 152,957.50 and 328,059 is: 703,611.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,957.50 : 328,059 = 328,059 : x
  2. Step 2: Convert to fraction form
    152,957.50/328,059 = 328,059/x
  3. Step 3: Cross multiply
    152,957.50x = 328,059 × 328,059
  4. Step 4: Simplify right side
    152,957.50x = 107,622,707,481
  5. Step 5: Solve for x
    x = 107,622,707,481/152,957.50
  6. Step 6: Final answer
    x = 703,611.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.