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Finding the Third Proportional to 200,718 and 432,769.13

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Solution

The third proportional to 200,718 and 432,769.13 is: 933,095.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,718 : 432,769.13 = 432,769.13 : x
  2. Step 2: Convert to fraction form
    200,718/432,769.13 = 432,769.13/x
  3. Step 3: Cross multiply
    200,718x = 432,769.13 × 432,769.13
  4. Step 4: Simplify right side
    200,718x = 187,289,115,553.27
  5. Step 5: Solve for x
    x = 187,289,115,553.27/200,718
  6. Step 6: Final answer
    x = 933,095.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.