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Finding the Third Proportional to 151,206 and 223,360.50

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Solution

The third proportional to 151,206 and 223,360.50 is: 329,946.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,206 : 223,360.50 = 223,360.50 : x
  2. Step 2: Convert to fraction form
    151,206/223,360.50 = 223,360.50/x
  3. Step 3: Cross multiply
    151,206x = 223,360.50 × 223,360.50
  4. Step 4: Simplify right side
    151,206x = 49,889,912,960.25
  5. Step 5: Solve for x
    x = 49,889,912,960.25/151,206
  6. Step 6: Final answer
    x = 329,946.65

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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.