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Finding the Third Proportional to 170,187 and 238,489

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Solution

The third proportional to 170,187 and 238,489 is: 334,202.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,187 : 238,489 = 238,489 : x
  2. Step 2: Convert to fraction form
    170,187/238,489 = 238,489/x
  3. Step 3: Cross multiply
    170,187x = 238,489 × 238,489
  4. Step 4: Simplify right side
    170,187x = 56,877,003,121
  5. Step 5: Solve for x
    x = 56,877,003,121/170,187
  6. Step 6: Final answer
    x = 334,202.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.