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Finding the Third Proportional to 144,121.50 and 229,013

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Solution

The third proportional to 144,121.50 and 229,013 is: 363,907.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,121.50 : 229,013 = 229,013 : x
  2. Step 2: Convert to fraction form
    144,121.50/229,013 = 229,013/x
  3. Step 3: Cross multiply
    144,121.50x = 229,013 × 229,013
  4. Step 4: Simplify right side
    144,121.50x = 52,446,954,169
  5. Step 5: Solve for x
    x = 52,446,954,169/144,121.50
  6. Step 6: Final answer
    x = 363,907.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.