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Finding the Third Proportional to 176,883.75 and 250,045.31

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Solution

The third proportional to 176,883.75 and 250,045.31 is: 353,467.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,883.75 : 250,045.31 = 250,045.31 : x
  2. Step 2: Convert to fraction form
    176,883.75/250,045.31 = 250,045.31/x
  3. Step 3: Cross multiply
    176,883.75x = 250,045.31 × 250,045.31
  4. Step 4: Simplify right side
    176,883.75x = 62,522,658,303.22
  5. Step 5: Solve for x
    x = 62,522,658,303.22/176,883.75
  6. Step 6: Final answer
    x = 353,467.51

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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.