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Finding the Third Proportional to 117,190.50 and 243,583.50

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Solution

The third proportional to 117,190.50 and 243,583.50 is: 506,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,190.50 : 243,583.50 = 243,583.50 : x
  2. Step 2: Convert to fraction form
    117,190.50/243,583.50 = 243,583.50/x
  3. Step 3: Cross multiply
    117,190.50x = 243,583.50 × 243,583.50
  4. Step 4: Simplify right side
    117,190.50x = 59,332,921,472.25
  5. Step 5: Solve for x
    x = 59,332,921,472.25/117,190.50
  6. Step 6: Final answer
    x = 506,294.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.