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Finding the Third Proportional to 154,057.50 and 333,387

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Solution

The third proportional to 154,057.50 and 333,387 is: 721,463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,057.50 : 333,387 = 333,387 : x
  2. Step 2: Convert to fraction form
    154,057.50/333,387 = 333,387/x
  3. Step 3: Cross multiply
    154,057.50x = 333,387 × 333,387
  4. Step 4: Simplify right side
    154,057.50x = 111,146,891,769
  5. Step 5: Solve for x
    x = 111,146,891,769/154,057.50
  6. Step 6: Final answer
    x = 721,463.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.