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Finding the Third Proportional to 165,824 and 355,304

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Solution

The third proportional to 165,824 and 355,304 is: 761,294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,824 : 355,304 = 355,304 : x
  2. Step 2: Convert to fraction form
    165,824/355,304 = 355,304/x
  3. Step 3: Cross multiply
    165,824x = 355,304 × 355,304
  4. Step 4: Simplify right side
    165,824x = 126,240,932,416
  5. Step 5: Solve for x
    x = 126,240,932,416/165,824
  6. Step 6: Final answer
    x = 761,294.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.