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Finding the Third Proportional to 179,890.88 and 416,502

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Solution

The third proportional to 179,890.88 and 416,502 is: 964,328.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,890.88 : 416,502 = 416,502 : x
  2. Step 2: Convert to fraction form
    179,890.88/416,502 = 416,502/x
  3. Step 3: Cross multiply
    179,890.88x = 416,502 × 416,502
  4. Step 4: Simplify right side
    179,890.88x = 173,473,916,004
  5. Step 5: Solve for x
    x = 173,473,916,004/179,890.88
  6. Step 6: Final answer
    x = 964,328.60

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.