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Finding the Third Proportional to 176,871.75 and 250,032.75

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Solution

The third proportional to 176,871.75 and 250,032.75 is: 353,455.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,871.75 : 250,032.75 = 250,032.75 : x
  2. Step 2: Convert to fraction form
    176,871.75/250,032.75 = 250,032.75/x
  3. Step 3: Cross multiply
    176,871.75x = 250,032.75 × 250,032.75
  4. Step 4: Simplify right side
    176,871.75x = 62,516,376,072.56
  5. Step 5: Solve for x
    x = 62,516,376,072.56/176,871.75
  6. Step 6: Final answer
    x = 353,455.97

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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.