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Finding the Third Proportional to 183,784.50 and 386,266.50

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Solution

The third proportional to 183,784.50 and 386,266.50 is: 811,830.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,784.50 : 386,266.50 = 386,266.50 : x
  2. Step 2: Convert to fraction form
    183,784.50/386,266.50 = 386,266.50/x
  3. Step 3: Cross multiply
    183,784.50x = 386,266.50 × 386,266.50
  4. Step 4: Simplify right side
    183,784.50x = 149,201,809,022.25
  5. Step 5: Solve for x
    x = 149,201,809,022.25/183,784.50
  6. Step 6: Final answer
    x = 811,830.21

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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.