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Finding the Third Proportional to 164,384 and 240,720

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Solution

The third proportional to 164,384 and 240,720 is: 352,504.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,384 : 240,720 = 240,720 : x
  2. Step 2: Convert to fraction form
    164,384/240,720 = 240,720/x
  3. Step 3: Cross multiply
    164,384x = 240,720 × 240,720
  4. Step 4: Simplify right side
    164,384x = 57,946,118,400
  5. Step 5: Solve for x
    x = 57,946,118,400/164,384
  6. Step 6: Final answer
    x = 352,504.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.