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Finding the Third Proportional to 150,904.69 and 314,205.75

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Solution

The third proportional to 150,904.69 and 314,205.75 is: 654,222.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,904.69 : 314,205.75 = 314,205.75 : x
  2. Step 2: Convert to fraction form
    150,904.69/314,205.75 = 314,205.75/x
  3. Step 3: Cross multiply
    150,904.69x = 314,205.75 × 314,205.75
  4. Step 4: Simplify right side
    150,904.69x = 98,725,253,333.06
  5. Step 5: Solve for x
    x = 98,725,253,333.06/150,904.69
  6. Step 6: Final answer
    x = 654,222.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.