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Finding the Third Proportional to 132,533 and 284,842

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Solution

The third proportional to 132,533 and 284,842 is: 612,186.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,533 : 284,842 = 284,842 : x
  2. Step 2: Convert to fraction form
    132,533/284,842 = 284,842/x
  3. Step 3: Cross multiply
    132,533x = 284,842 × 284,842
  4. Step 4: Simplify right side
    132,533x = 81,134,964,964
  5. Step 5: Solve for x
    x = 81,134,964,964/132,533
  6. Step 6: Final answer
    x = 612,186.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.