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Finding the Third Proportional to 155,790.42 and 222,763.92

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Solution

The third proportional to 155,790.42 and 222,763.92 is: 318,528.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,790.42 : 222,763.92 = 222,763.92 : x
  2. Step 2: Convert to fraction form
    155,790.42/222,763.92 = 222,763.92/x
  3. Step 3: Cross multiply
    155,790.42x = 222,763.92 × 222,763.92
  4. Step 4: Simplify right side
    155,790.42x = 49,623,764,889.13
  5. Step 5: Solve for x
    x = 49,623,764,889.13/155,790.42
  6. Step 6: Final answer
    x = 318,528.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.