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Finding the Third Proportional to 178,965.28 and 250,337.34

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Solution

The third proportional to 178,965.28 and 250,337.34 is: 350,172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,965.28 : 250,337.34 = 250,337.34 : x
  2. Step 2: Convert to fraction form
    178,965.28/250,337.34 = 250,337.34/x
  3. Step 3: Cross multiply
    178,965.28x = 250,337.34 × 250,337.34
  4. Step 4: Simplify right side
    178,965.28x = 62,668,785,675.81
  5. Step 5: Solve for x
    x = 62,668,785,675.81/178,965.28
  6. Step 6: Final answer
    x = 350,172.87

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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.