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Finding the Third Proportional to 102,202 and 238,717

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Solution

The third proportional to 102,202 and 238,717 is: 557,580.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,202 : 238,717 = 238,717 : x
  2. Step 2: Convert to fraction form
    102,202/238,717 = 238,717/x
  3. Step 3: Cross multiply
    102,202x = 238,717 × 238,717
  4. Step 4: Simplify right side
    102,202x = 56,985,806,089
  5. Step 5: Solve for x
    x = 56,985,806,089/102,202
  6. Step 6: Final answer
    x = 557,580.15

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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.