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Finding the Third Proportional to 163,583 and 239,974

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Solution

The third proportional to 163,583 and 239,974 is: 352,038.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,583 : 239,974 = 239,974 : x
  2. Step 2: Convert to fraction form
    163,583/239,974 = 239,974/x
  3. Step 3: Cross multiply
    163,583x = 239,974 × 239,974
  4. Step 4: Simplify right side
    163,583x = 57,587,520,676
  5. Step 5: Solve for x
    x = 57,587,520,676/163,583
  6. Step 6: Final answer
    x = 352,038.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.