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Finding the Third Proportional to 205,250 and 448,132

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Solution

The third proportional to 205,250 and 448,132 is: 978,427.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,250 : 448,132 = 448,132 : x
  2. Step 2: Convert to fraction form
    205,250/448,132 = 448,132/x
  3. Step 3: Cross multiply
    205,250x = 448,132 × 448,132
  4. Step 4: Simplify right side
    205,250x = 200,822,289,424
  5. Step 5: Solve for x
    x = 200,822,289,424/205,250
  6. Step 6: Final answer
    x = 978,427.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.