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Finding the Third Proportional to 150,849 and 312,135.75

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Solution

The third proportional to 150,849 and 312,135.75 is: 645,869.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,849 : 312,135.75 = 312,135.75 : x
  2. Step 2: Convert to fraction form
    150,849/312,135.75 = 312,135.75/x
  3. Step 3: Cross multiply
    150,849x = 312,135.75 × 312,135.75
  4. Step 4: Simplify right side
    150,849x = 97,428,726,428.06
  5. Step 5: Solve for x
    x = 97,428,726,428.06/150,849
  6. Step 6: Final answer
    x = 645,869.22

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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.