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Finding the Third Proportional to 233,983 and 361,999.50

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Solution

The third proportional to 233,983 and 361,999.50 is: 560,056.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,983 : 361,999.50 = 361,999.50 : x
  2. Step 2: Convert to fraction form
    233,983/361,999.50 = 361,999.50/x
  3. Step 3: Cross multiply
    233,983x = 361,999.50 × 361,999.50
  4. Step 4: Simplify right side
    233,983x = 131,043,638,000.25
  5. Step 5: Solve for x
    x = 131,043,638,000.25/233,983
  6. Step 6: Final answer
    x = 560,056.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.