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Finding the Third Proportional to 144,632.25 and 311,465.25

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Solution

The third proportional to 144,632.25 and 311,465.25 is: 670,739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,632.25 : 311,465.25 = 311,465.25 : x
  2. Step 2: Convert to fraction form
    144,632.25/311,465.25 = 311,465.25/x
  3. Step 3: Cross multiply
    144,632.25x = 311,465.25 × 311,465.25
  4. Step 4: Simplify right side
    144,632.25x = 97,010,601,957.56
  5. Step 5: Solve for x
    x = 97,010,601,957.56/144,632.25
  6. Step 6: Final answer
    x = 670,739.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.