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Finding the Third Proportional to 155,732.63 and 222,698.11

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Solution

The third proportional to 155,732.63 and 222,698.11 is: 318,458.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,732.63 : 222,698.11 = 222,698.11 : x
  2. Step 2: Convert to fraction form
    155,732.63/222,698.11 = 222,698.11/x
  3. Step 3: Cross multiply
    155,732.63x = 222,698.11 × 222,698.11
  4. Step 4: Simplify right side
    155,732.63x = 49,594,447,919.20
  5. Step 5: Solve for x
    x = 49,594,447,919.20/155,732.63
  6. Step 6: Final answer
    x = 318,458.95

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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.