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Finding the Third Proportional to 172,987.69 and 243,498.38

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Solution

The third proportional to 172,987.69 and 243,498.38 is: 342,749.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,987.69 : 243,498.38 = 243,498.38 : x
  2. Step 2: Convert to fraction form
    172,987.69/243,498.38 = 243,498.38/x
  3. Step 3: Cross multiply
    172,987.69x = 243,498.38 × 243,498.38
  4. Step 4: Simplify right side
    172,987.69x = 59,291,458,627.64
  5. Step 5: Solve for x
    x = 59,291,458,627.64/172,987.69
  6. Step 6: Final answer
    x = 342,749.59

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.