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Finding the Third Proportional to 205,538.50 and 448,330

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Solution

The third proportional to 205,538.50 and 448,330 is: 977,917.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,538.50 : 448,330 = 448,330 : x
  2. Step 2: Convert to fraction form
    205,538.50/448,330 = 448,330/x
  3. Step 3: Cross multiply
    205,538.50x = 448,330 × 448,330
  4. Step 4: Simplify right side
    205,538.50x = 200,999,788,900
  5. Step 5: Solve for x
    x = 200,999,788,900/205,538.50
  6. Step 6: Final answer
    x = 977,917.95

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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.