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Finding the Third Proportional to 183,077.50 and 385,837.75

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Solution

The third proportional to 183,077.50 and 385,837.75 is: 813,157.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,077.50 : 385,837.75 = 385,837.75 : x
  2. Step 2: Convert to fraction form
    183,077.50/385,837.75 = 385,837.75/x
  3. Step 3: Cross multiply
    183,077.50x = 385,837.75 × 385,837.75
  4. Step 4: Simplify right side
    183,077.50x = 148,870,769,325.06
  5. Step 5: Solve for x
    x = 148,870,769,325.06/183,077.50
  6. Step 6: Final answer
    x = 813,157.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.