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Finding the Third Proportional to 183,822.75 and 386,194.50

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Solution

The third proportional to 183,822.75 and 386,194.50 is: 811,358.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,822.75 : 386,194.50 = 386,194.50 : x
  2. Step 2: Convert to fraction form
    183,822.75/386,194.50 = 386,194.50/x
  3. Step 3: Cross multiply
    183,822.75x = 386,194.50 × 386,194.50
  4. Step 4: Simplify right side
    183,822.75x = 149,146,191,830.25
  5. Step 5: Solve for x
    x = 149,146,191,830.25/183,822.75
  6. Step 6: Final answer
    x = 811,358.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.