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Finding the Third Proportional to 146,492 and 219,760

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Solution

The third proportional to 146,492 and 219,760 is: 329,673.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,492 : 219,760 = 219,760 : x
  2. Step 2: Convert to fraction form
    146,492/219,760 = 219,760/x
  3. Step 3: Cross multiply
    146,492x = 219,760 × 219,760
  4. Step 4: Simplify right side
    146,492x = 48,294,457,600
  5. Step 5: Solve for x
    x = 48,294,457,600/146,492
  6. Step 6: Final answer
    x = 329,673.00

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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.