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Finding the Third Proportional to 183,534.75 and 406,372.50

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Solution

The third proportional to 183,534.75 and 406,372.50 is: 899,767.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,534.75 : 406,372.50 = 406,372.50 : x
  2. Step 2: Convert to fraction form
    183,534.75/406,372.50 = 406,372.50/x
  3. Step 3: Cross multiply
    183,534.75x = 406,372.50 × 406,372.50
  4. Step 4: Simplify right side
    183,534.75x = 165,138,608,756.25
  5. Step 5: Solve for x
    x = 165,138,608,756.25/183,534.75
  6. Step 6: Final answer
    x = 899,767.53

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.