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Finding the Third Proportional to 154,548.50 and 329,510

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Solution

The third proportional to 154,548.50 and 329,510 is: 702,542.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,548.50 : 329,510 = 329,510 : x
  2. Step 2: Convert to fraction form
    154,548.50/329,510 = 329,510/x
  3. Step 3: Cross multiply
    154,548.50x = 329,510 × 329,510
  4. Step 4: Simplify right side
    154,548.50x = 108,576,840,100
  5. Step 5: Solve for x
    x = 108,576,840,100/154,548.50
  6. Step 6: Final answer
    x = 702,542.18

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.