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Finding the Third Proportional to 113,577.75 and 238,919.06

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Solution

The third proportional to 113,577.75 and 238,919.06 is: 502,583.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,577.75 : 238,919.06 = 238,919.06 : x
  2. Step 2: Convert to fraction form
    113,577.75/238,919.06 = 238,919.06/x
  3. Step 3: Cross multiply
    113,577.75x = 238,919.06 × 238,919.06
  4. Step 4: Simplify right side
    113,577.75x = 57,082,318,425.88
  5. Step 5: Solve for x
    x = 57,082,318,425.88/113,577.75
  6. Step 6: Final answer
    x = 502,583.63

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Why These Related Problems?

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