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Finding the Third Proportional to 164,824 and 361,724

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Solution

The third proportional to 164,824 and 361,724 is: 793,842.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,824 : 361,724 = 361,724 : x
  2. Step 2: Convert to fraction form
    164,824/361,724 = 361,724/x
  3. Step 3: Cross multiply
    164,824x = 361,724 × 361,724
  4. Step 4: Simplify right side
    164,824x = 130,844,252,176
  5. Step 5: Solve for x
    x = 130,844,252,176/164,824
  6. Step 6: Final answer
    x = 793,842.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.