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Finding the Third Proportional to 243,723.50 and 376,648

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Solution

The third proportional to 243,723.50 and 376,648 is: 582,068.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,723.50 : 376,648 = 376,648 : x
  2. Step 2: Convert to fraction form
    243,723.50/376,648 = 376,648/x
  3. Step 3: Cross multiply
    243,723.50x = 376,648 × 376,648
  4. Step 4: Simplify right side
    243,723.50x = 141,863,715,904
  5. Step 5: Solve for x
    x = 141,863,715,904/243,723.50
  6. Step 6: Final answer
    x = 582,068.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.