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Finding the Third Proportional to 183,530.50 and 246,999.50

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Solution

The third proportional to 183,530.50 and 246,999.50 is: 332,417.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,530.50 : 246,999.50 = 246,999.50 : x
  2. Step 2: Convert to fraction form
    183,530.50/246,999.50 = 246,999.50/x
  3. Step 3: Cross multiply
    183,530.50x = 246,999.50 × 246,999.50
  4. Step 4: Simplify right side
    183,530.50x = 61,008,753,000.25
  5. Step 5: Solve for x
    x = 61,008,753,000.25/183,530.50
  6. Step 6: Final answer
    x = 332,417.52

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.