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Finding the Third Proportional to 179,957.25 and 416,611.13

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Solution

The third proportional to 179,957.25 and 416,611.13 is: 964,478.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,957.25 : 416,611.13 = 416,611.13 : x
  2. Step 2: Convert to fraction form
    179,957.25/416,611.13 = 416,611.13/x
  3. Step 3: Cross multiply
    179,957.25x = 416,611.13 × 416,611.13
  4. Step 4: Simplify right side
    179,957.25x = 173,564,829,473.77
  5. Step 5: Solve for x
    x = 173,564,829,473.77/179,957.25
  6. Step 6: Final answer
    x = 964,478.12

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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.