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Finding the Third Proportional to 132,170 and 282,772

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Solution

The third proportional to 132,170 and 282,772 is: 604,978.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,170 : 282,772 = 282,772 : x
  2. Step 2: Convert to fraction form
    132,170/282,772 = 282,772/x
  3. Step 3: Cross multiply
    132,170x = 282,772 × 282,772
  4. Step 4: Simplify right side
    132,170x = 79,960,003,984
  5. Step 5: Solve for x
    x = 79,960,003,984/132,170
  6. Step 6: Final answer
    x = 604,978.47

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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.