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Finding the Third Proportional to 102,253 and 238,817.50

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Solution

The third proportional to 102,253 and 238,817.50 is: 557,771.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,253 : 238,817.50 = 238,817.50 : x
  2. Step 2: Convert to fraction form
    102,253/238,817.50 = 238,817.50/x
  3. Step 3: Cross multiply
    102,253x = 238,817.50 × 238,817.50
  4. Step 4: Simplify right side
    102,253x = 57,033,798,306.25
  5. Step 5: Solve for x
    x = 57,033,798,306.25/102,253
  6. Step 6: Final answer
    x = 557,771.39

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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.