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Finding the Third Proportional to 146,835 and 233,380.50

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Solution

The third proportional to 146,835 and 233,380.50 is: 370,936.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,835 : 233,380.50 = 233,380.50 : x
  2. Step 2: Convert to fraction form
    146,835/233,380.50 = 233,380.50/x
  3. Step 3: Cross multiply
    146,835x = 233,380.50 × 233,380.50
  4. Step 4: Simplify right side
    146,835x = 54,466,457,780.25
  5. Step 5: Solve for x
    x = 54,466,457,780.25/146,835
  6. Step 6: Final answer
    x = 370,936.48

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.