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Finding the Third Proportional to 241,168 and 354,534

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Solution

The third proportional to 241,168 and 354,534 is: 521,190.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,168 : 354,534 = 354,534 : x
  2. Step 2: Convert to fraction form
    241,168/354,534 = 354,534/x
  3. Step 3: Cross multiply
    241,168x = 354,534 × 354,534
  4. Step 4: Simplify right side
    241,168x = 125,694,357,156
  5. Step 5: Solve for x
    x = 125,694,357,156/241,168
  6. Step 6: Final answer
    x = 521,190.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.