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Finding the Third Proportional to 113,559 and 238,888

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Solution

The third proportional to 113,559 and 238,888 is: 502,535.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,559 : 238,888 = 238,888 : x
  2. Step 2: Convert to fraction form
    113,559/238,888 = 238,888/x
  3. Step 3: Cross multiply
    113,559x = 238,888 × 238,888
  4. Step 4: Simplify right side
    113,559x = 57,067,476,544
  5. Step 5: Solve for x
    x = 57,067,476,544/113,559
  6. Step 6: Final answer
    x = 502,535.92

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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.