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Finding the Third Proportional to 144,936 and 216,737.75

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Solution

The third proportional to 144,936 and 216,737.75 is: 324,110.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,936 : 216,737.75 = 216,737.75 : x
  2. Step 2: Convert to fraction form
    144,936/216,737.75 = 216,737.75/x
  3. Step 3: Cross multiply
    144,936x = 216,737.75 × 216,737.75
  4. Step 4: Simplify right side
    144,936x = 46,975,252,275.06
  5. Step 5: Solve for x
    x = 46,975,252,275.06/144,936
  6. Step 6: Final answer
    x = 324,110.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.