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Finding the Third Proportional to 117,330.50 and 240,128

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Solution

The third proportional to 117,330.50 and 240,128 is: 491,444.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,330.50 : 240,128 = 240,128 : x
  2. Step 2: Convert to fraction form
    117,330.50/240,128 = 240,128/x
  3. Step 3: Cross multiply
    117,330.50x = 240,128 × 240,128
  4. Step 4: Simplify right side
    117,330.50x = 57,661,456,384
  5. Step 5: Solve for x
    x = 57,661,456,384/117,330.50
  6. Step 6: Final answer
    x = 491,444.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.