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Finding the Third Proportional to 159,854 and 238,683

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Solution

The third proportional to 159,854 and 238,683 is: 356,385.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,854 : 238,683 = 238,683 : x
  2. Step 2: Convert to fraction form
    159,854/238,683 = 238,683/x
  3. Step 3: Cross multiply
    159,854x = 238,683 × 238,683
  4. Step 4: Simplify right side
    159,854x = 56,969,574,489
  5. Step 5: Solve for x
    x = 56,969,574,489/159,854
  6. Step 6: Final answer
    x = 356,385.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.