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Finding the Third Proportional to 170,416.13 and 238,947.75

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Solution

The third proportional to 170,416.13 and 238,947.75 is: 335,038.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,416.13 : 238,947.75 = 238,947.75 : x
  2. Step 2: Convert to fraction form
    170,416.13/238,947.75 = 238,947.75/x
  3. Step 3: Cross multiply
    170,416.13x = 238,947.75 × 238,947.75
  4. Step 4: Simplify right side
    170,416.13x = 57,096,027,230.06
  5. Step 5: Solve for x
    x = 57,096,027,230.06/170,416.13
  6. Step 6: Final answer
    x = 335,038.88

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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.