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Finding the Third Proportional to 193,812.20 and 307,585.32

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Solution

The third proportional to 193,812.20 and 307,585.32 is: 488,146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,812.20 : 307,585.32 = 307,585.32 : x
  2. Step 2: Convert to fraction form
    193,812.20/307,585.32 = 307,585.32/x
  3. Step 3: Cross multiply
    193,812.20x = 307,585.32 × 307,585.32
  4. Step 4: Simplify right side
    193,812.20x = 94,608,728,070.24
  5. Step 5: Solve for x
    x = 94,608,728,070.24/193,812.20
  6. Step 6: Final answer
    x = 488,146.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.