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Finding the Third Proportional to 102,261.75 and 238,840.88

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Solution

The third proportional to 102,261.75 and 238,840.88 is: 557,832.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,261.75 : 238,840.88 = 238,840.88 : x
  2. Step 2: Convert to fraction form
    102,261.75/238,840.88 = 238,840.88/x
  3. Step 3: Cross multiply
    102,261.75x = 238,840.88 × 238,840.88
  4. Step 4: Simplify right side
    102,261.75x = 57,044,963,570.77
  5. Step 5: Solve for x
    x = 57,044,963,570.77/102,261.75
  6. Step 6: Final answer
    x = 557,832.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.