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Finding the Third Proportional to 167,426 and 238,639

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Solution

The third proportional to 167,426 and 238,639 is: 340,141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,426 : 238,639 = 238,639 : x
  2. Step 2: Convert to fraction form
    167,426/238,639 = 238,639/x
  3. Step 3: Cross multiply
    167,426x = 238,639 × 238,639
  4. Step 4: Simplify right side
    167,426x = 56,948,572,321
  5. Step 5: Solve for x
    x = 56,948,572,321/167,426
  6. Step 6: Final answer
    x = 340,141.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.