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Finding the Third Proportional to 111,835.13 and 238,740.75

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Solution

The third proportional to 111,835.13 and 238,740.75 is: 509,653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,835.13 : 238,740.75 = 238,740.75 : x
  2. Step 2: Convert to fraction form
    111,835.13/238,740.75 = 238,740.75/x
  3. Step 3: Cross multiply
    111,835.13x = 238,740.75 × 238,740.75
  4. Step 4: Simplify right side
    111,835.13x = 56,997,145,710.56
  5. Step 5: Solve for x
    x = 56,997,145,710.56/111,835.13
  6. Step 6: Final answer
    x = 509,653.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.