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Finding the Third Proportional to 144,648 and 223,951.50

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Solution

The third proportional to 144,648 and 223,951.50 is: 346,733.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,648 : 223,951.50 = 223,951.50 : x
  2. Step 2: Convert to fraction form
    144,648/223,951.50 = 223,951.50/x
  3. Step 3: Cross multiply
    144,648x = 223,951.50 × 223,951.50
  4. Step 4: Simplify right side
    144,648x = 50,154,274,352.25
  5. Step 5: Solve for x
    x = 50,154,274,352.25/144,648
  6. Step 6: Final answer
    x = 346,733.27

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