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Finding the Third Proportional to 153,180 and 229,932

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Solution

The third proportional to 153,180 and 229,932 is: 345,141.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,180 : 229,932 = 229,932 : x
  2. Step 2: Convert to fraction form
    153,180/229,932 = 229,932/x
  3. Step 3: Cross multiply
    153,180x = 229,932 × 229,932
  4. Step 4: Simplify right side
    153,180x = 52,868,724,624
  5. Step 5: Solve for x
    x = 52,868,724,624/153,180
  6. Step 6: Final answer
    x = 345,141.17

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