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Finding the Third Proportional to 183,464.50 and 386,823.50

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Solution

The third proportional to 183,464.50 and 386,823.50 is: 815,593.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,464.50 : 386,823.50 = 386,823.50 : x
  2. Step 2: Convert to fraction form
    183,464.50/386,823.50 = 386,823.50/x
  3. Step 3: Cross multiply
    183,464.50x = 386,823.50 × 386,823.50
  4. Step 4: Simplify right side
    183,464.50x = 149,632,420,152.25
  5. Step 5: Solve for x
    x = 149,632,420,152.25/183,464.50
  6. Step 6: Final answer
    x = 815,593.32

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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.