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Finding the Third Proportional to 200,044.69 and 306,748.27

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Solution

The third proportional to 200,044.69 and 306,748.27 is: 470,367.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,044.69 : 306,748.27 = 306,748.27 : x
  2. Step 2: Convert to fraction form
    200,044.69/306,748.27 = 306,748.27/x
  3. Step 3: Cross multiply
    200,044.69x = 306,748.27 × 306,748.27
  4. Step 4: Simplify right side
    200,044.69x = 94,094,498,463.95
  5. Step 5: Solve for x
    x = 94,094,498,463.95/200,044.69
  6. Step 6: Final answer
    x = 470,367.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.