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Finding the Third Proportional to 144,713 and 226,329.50

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Solution

The third proportional to 144,713 and 226,329.50 is: 353,976.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,713 : 226,329.50 = 226,329.50 : x
  2. Step 2: Convert to fraction form
    144,713/226,329.50 = 226,329.50/x
  3. Step 3: Cross multiply
    144,713x = 226,329.50 × 226,329.50
  4. Step 4: Simplify right side
    144,713x = 51,225,042,570.25
  5. Step 5: Solve for x
    x = 51,225,042,570.25/144,713
  6. Step 6: Final answer
    x = 353,976.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.