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Finding the Third Proportional to 147,936.75 and 323,552.06

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Solution

The third proportional to 147,936.75 and 323,552.06 is: 707,639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,936.75 : 323,552.06 = 323,552.06 : x
  2. Step 2: Convert to fraction form
    147,936.75/323,552.06 = 323,552.06/x
  3. Step 3: Cross multiply
    147,936.75x = 323,552.06 × 323,552.06
  4. Step 4: Simplify right side
    147,936.75x = 104,685,937,148.00
  5. Step 5: Solve for x
    x = 104,685,937,148.00/147,936.75
  6. Step 6: Final answer
    x = 707,639.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.