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Finding the Third Proportional to 115,600 and 238,952

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Solution

The third proportional to 115,600 and 238,952 is: 493,927.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,600 : 238,952 = 238,952 : x
  2. Step 2: Convert to fraction form
    115,600/238,952 = 238,952/x
  3. Step 3: Cross multiply
    115,600x = 238,952 × 238,952
  4. Step 4: Simplify right side
    115,600x = 57,098,058,304
  5. Step 5: Solve for x
    x = 57,098,058,304/115,600
  6. Step 6: Final answer
    x = 493,927.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.