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Finding the Third Proportional to 164,448 and 384,480

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Solution

The third proportional to 164,448 and 384,480 is: 898,915.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,448 : 384,480 = 384,480 : x
  2. Step 2: Convert to fraction form
    164,448/384,480 = 384,480/x
  3. Step 3: Cross multiply
    164,448x = 384,480 × 384,480
  4. Step 4: Simplify right side
    164,448x = 147,824,870,400
  5. Step 5: Solve for x
    x = 147,824,870,400/164,448
  6. Step 6: Final answer
    x = 898,915.59

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.