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Finding the Third Proportional to 112,824 and 240,402

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Solution

The third proportional to 112,824 and 240,402 is: 512,241.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,824 : 240,402 = 240,402 : x
  2. Step 2: Convert to fraction form
    112,824/240,402 = 240,402/x
  3. Step 3: Cross multiply
    112,824x = 240,402 × 240,402
  4. Step 4: Simplify right side
    112,824x = 57,793,121,604
  5. Step 5: Solve for x
    x = 57,793,121,604/112,824
  6. Step 6: Final answer
    x = 512,241.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.