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Finding the Third Proportional to 113,568.19 and 238,906.69

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Solution

The third proportional to 113,568.19 and 238,906.69 is: 502,573.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,568.19 : 238,906.69 = 238,906.69 : x
  2. Step 2: Convert to fraction form
    113,568.19/238,906.69 = 238,906.69/x
  3. Step 3: Cross multiply
    113,568.19x = 238,906.69 × 238,906.69
  4. Step 4: Simplify right side
    113,568.19x = 57,076,405,332.22
  5. Step 5: Solve for x
    x = 57,076,405,332.22/113,568.19
  6. Step 6: Final answer
    x = 502,573.89

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.