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Finding the Third Proportional to 150,829.13 and 312,097.88

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Solution

The third proportional to 150,829.13 and 312,097.88 is: 645,797.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,829.13 : 312,097.88 = 312,097.88 : x
  2. Step 2: Convert to fraction form
    150,829.13/312,097.88 = 312,097.88/x
  3. Step 3: Cross multiply
    150,829.13x = 312,097.88 × 312,097.88
  4. Step 4: Simplify right side
    150,829.13x = 97,405,083,579.52
  5. Step 5: Solve for x
    x = 97,405,083,579.52/150,829.13
  6. Step 6: Final answer
    x = 645,797.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.