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Finding the Third Proportional to 151,362 and 227,043

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Solution

The third proportional to 151,362 and 227,043 is: 340,564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,362 : 227,043 = 227,043 : x
  2. Step 2: Convert to fraction form
    151,362/227,043 = 227,043/x
  3. Step 3: Cross multiply
    151,362x = 227,043 × 227,043
  4. Step 4: Simplify right side
    151,362x = 51,548,523,849
  5. Step 5: Solve for x
    x = 51,548,523,849/151,362
  6. Step 6: Final answer
    x = 340,564.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.