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Finding the Third Proportional to 144,706.50 and 223,620.75

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Solution

The third proportional to 144,706.50 and 223,620.75 is: 345,570.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,706.50 : 223,620.75 = 223,620.75 : x
  2. Step 2: Convert to fraction form
    144,706.50/223,620.75 = 223,620.75/x
  3. Step 3: Cross multiply
    144,706.50x = 223,620.75 × 223,620.75
  4. Step 4: Simplify right side
    144,706.50x = 50,006,239,830.56
  5. Step 5: Solve for x
    x = 50,006,239,830.56/144,706.50
  6. Step 6: Final answer
    x = 345,570.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.