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Finding the Third Proportional to 97,273.50 and 178,563

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Solution

The third proportional to 97,273.50 and 178,563 is: 327,784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,273.50 : 178,563 = 178,563 : x
  2. Step 2: Convert to fraction form
    97,273.50/178,563 = 178,563/x
  3. Step 3: Cross multiply
    97,273.50x = 178,563 × 178,563
  4. Step 4: Simplify right side
    97,273.50x = 31,884,744,969
  5. Step 5: Solve for x
    x = 31,884,744,969/97,273.50
  6. Step 6: Final answer
    x = 327,784.49

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.