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Finding the Third Proportional to 132,372 and 285,476

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Solution

The third proportional to 132,372 and 285,476 is: 615,663.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,372 : 285,476 = 285,476 : x
  2. Step 2: Convert to fraction form
    132,372/285,476 = 285,476/x
  3. Step 3: Cross multiply
    132,372x = 285,476 × 285,476
  4. Step 4: Simplify right side
    132,372x = 81,496,546,576
  5. Step 5: Solve for x
    x = 81,496,546,576/132,372
  6. Step 6: Final answer
    x = 615,663.03

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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.