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Finding the Third Proportional to 176,856.75 and 250,007.63

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Solution

The third proportional to 176,856.75 and 250,007.63 is: 353,414.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,856.75 : 250,007.63 = 250,007.63 : x
  2. Step 2: Convert to fraction form
    176,856.75/250,007.63 = 250,007.63/x
  3. Step 3: Cross multiply
    176,856.75x = 250,007.63 × 250,007.63
  4. Step 4: Simplify right side
    176,856.75x = 62,503,812,558.14
  5. Step 5: Solve for x
    x = 62,503,812,558.14/176,856.75
  6. Step 6: Final answer
    x = 353,414.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.