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Finding the Third Proportional to 182,475 and 281,417

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Solution

The third proportional to 182,475 and 281,417 is: 434,007.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,475 : 281,417 = 281,417 : x
  2. Step 2: Convert to fraction form
    182,475/281,417 = 281,417/x
  3. Step 3: Cross multiply
    182,475x = 281,417 × 281,417
  4. Step 4: Simplify right side
    182,475x = 79,195,527,889
  5. Step 5: Solve for x
    x = 79,195,527,889/182,475
  6. Step 6: Final answer
    x = 434,007.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.