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Finding the Third Proportional to 183,035.25 and 335,695.50

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Solution

The third proportional to 183,035.25 and 335,695.50 is: 615,681.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,035.25 : 335,695.50 = 335,695.50 : x
  2. Step 2: Convert to fraction form
    183,035.25/335,695.50 = 335,695.50/x
  3. Step 3: Cross multiply
    183,035.25x = 335,695.50 × 335,695.50
  4. Step 4: Simplify right side
    183,035.25x = 112,691,468,720.25
  5. Step 5: Solve for x
    x = 112,691,468,720.25/183,035.25
  6. Step 6: Final answer
    x = 615,681.78

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.