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Finding the Third Proportional to 152,185.50 and 325,485

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Solution

The third proportional to 152,185.50 and 325,485 is: 696,127.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,185.50 : 325,485 = 325,485 : x
  2. Step 2: Convert to fraction form
    152,185.50/325,485 = 325,485/x
  3. Step 3: Cross multiply
    152,185.50x = 325,485 × 325,485
  4. Step 4: Simplify right side
    152,185.50x = 105,940,485,225
  5. Step 5: Solve for x
    x = 105,940,485,225/152,185.50
  6. Step 6: Final answer
    x = 696,127.33

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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.