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Finding the Third Proportional to 132,564 and 204,804

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Solution

The third proportional to 132,564 and 204,804 is: 316,410.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,564 : 204,804 = 204,804 : x
  2. Step 2: Convert to fraction form
    132,564/204,804 = 204,804/x
  3. Step 3: Cross multiply
    132,564x = 204,804 × 204,804
  4. Step 4: Simplify right side
    132,564x = 41,944,678,416
  5. Step 5: Solve for x
    x = 41,944,678,416/132,564
  6. Step 6: Final answer
    x = 316,410.78

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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.