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Finding the Third Proportional to 241,168 and 354,786

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Solution

The third proportional to 241,168 and 354,786 is: 521,931.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,168 : 354,786 = 354,786 : x
  2. Step 2: Convert to fraction form
    241,168/354,786 = 354,786/x
  3. Step 3: Cross multiply
    241,168x = 354,786 × 354,786
  4. Step 4: Simplify right side
    241,168x = 125,873,105,796
  5. Step 5: Solve for x
    x = 125,873,105,796/241,168
  6. Step 6: Final answer
    x = 521,931.21

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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.