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Finding the Third Proportional to 230,517 and 355,999.50

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Solution

The third proportional to 230,517 and 355,999.50 is: 549,788.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,517 : 355,999.50 = 355,999.50 : x
  2. Step 2: Convert to fraction form
    230,517/355,999.50 = 355,999.50/x
  3. Step 3: Cross multiply
    230,517x = 355,999.50 × 355,999.50
  4. Step 4: Simplify right side
    230,517x = 126,735,644,000.25
  5. Step 5: Solve for x
    x = 126,735,644,000.25/230,517
  6. Step 6: Final answer
    x = 549,788.71

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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.