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Finding the Third Proportional to 117,013.50 and 243,024

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Solution

The third proportional to 117,013.50 and 243,024 is: 504,733.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,013.50 : 243,024 = 243,024 : x
  2. Step 2: Convert to fraction form
    117,013.50/243,024 = 243,024/x
  3. Step 3: Cross multiply
    117,013.50x = 243,024 × 243,024
  4. Step 4: Simplify right side
    117,013.50x = 59,060,664,576
  5. Step 5: Solve for x
    x = 59,060,664,576/117,013.50
  6. Step 6: Final answer
    x = 504,733.77

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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.