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Finding the Third Proportional to 175,090.50 and 273,573

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Solution

The third proportional to 175,090.50 and 273,573 is: 427,448.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,090.50 : 273,573 = 273,573 : x
  2. Step 2: Convert to fraction form
    175,090.50/273,573 = 273,573/x
  3. Step 3: Cross multiply
    175,090.50x = 273,573 × 273,573
  4. Step 4: Simplify right side
    175,090.50x = 74,842,186,329
  5. Step 5: Solve for x
    x = 74,842,186,329/175,090.50
  6. Step 6: Final answer
    x = 427,448.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.