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Finding the Third Proportional to 132,456 and 285,648

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Solution

The third proportional to 132,456 and 285,648 is: 616,014.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,456 : 285,648 = 285,648 : x
  2. Step 2: Convert to fraction form
    132,456/285,648 = 285,648/x
  3. Step 3: Cross multiply
    132,456x = 285,648 × 285,648
  4. Step 4: Simplify right side
    132,456x = 81,594,779,904
  5. Step 5: Solve for x
    x = 81,594,779,904/132,456
  6. Step 6: Final answer
    x = 616,014.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.