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Finding the Third Proportional to 151,233 and 223,390.50

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Solution

The third proportional to 151,233 and 223,390.50 is: 329,976.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,233 : 223,390.50 = 223,390.50 : x
  2. Step 2: Convert to fraction form
    151,233/223,390.50 = 223,390.50/x
  3. Step 3: Cross multiply
    151,233x = 223,390.50 × 223,390.50
  4. Step 4: Simplify right side
    151,233x = 49,903,315,490.25
  5. Step 5: Solve for x
    x = 49,903,315,490.25/151,233
  6. Step 6: Final answer
    x = 329,976.36

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.