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Finding the Third Proportional to 177,175.48 and 273,597.12

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Solution

The third proportional to 177,175.48 and 273,597.12 is: 422,492.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,175.48 : 273,597.12 = 273,597.12 : x
  2. Step 2: Convert to fraction form
    177,175.48/273,597.12 = 273,597.12/x
  3. Step 3: Cross multiply
    177,175.48x = 273,597.12 × 273,597.12
  4. Step 4: Simplify right side
    177,175.48x = 74,855,382,533.31
  5. Step 5: Solve for x
    x = 74,855,382,533.31/177,175.48
  6. Step 6: Final answer
    x = 422,492.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.