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Finding the Third Proportional to 185,913.56 and 401,344.88

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Solution

The third proportional to 185,913.56 and 401,344.88 is: 866,411.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,913.56 : 401,344.88 = 401,344.88 : x
  2. Step 2: Convert to fraction form
    185,913.56/401,344.88 = 401,344.88/x
  3. Step 3: Cross multiply
    185,913.56x = 401,344.88 × 401,344.88
  4. Step 4: Simplify right side
    185,913.56x = 161,077,708,688.77
  5. Step 5: Solve for x
    x = 161,077,708,688.77/185,913.56
  6. Step 6: Final answer
    x = 866,411.82

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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.