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Finding the Third Proportional to 137,846.81 and 210,825.28

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Solution

The third proportional to 137,846.81 and 210,825.28 is: 322,439.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,846.81 : 210,825.28 = 210,825.28 : x
  2. Step 2: Convert to fraction form
    137,846.81/210,825.28 = 210,825.28/x
  3. Step 3: Cross multiply
    137,846.81x = 210,825.28 × 210,825.28
  4. Step 4: Simplify right side
    137,846.81x = 44,447,299,214.14
  5. Step 5: Solve for x
    x = 44,447,299,214.14/137,846.81
  6. Step 6: Final answer
    x = 322,439.80

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.