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Finding the Third Proportional to 159,140 and 223,084

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Solution

The third proportional to 159,140 and 223,084 is: 312,721.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,140 : 223,084 = 223,084 : x
  2. Step 2: Convert to fraction form
    159,140/223,084 = 223,084/x
  3. Step 3: Cross multiply
    159,140x = 223,084 × 223,084
  4. Step 4: Simplify right side
    159,140x = 49,766,471,056
  5. Step 5: Solve for x
    x = 49,766,471,056/159,140
  6. Step 6: Final answer
    x = 312,721.32

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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.