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Finding the Third Proportional to 226,184.63 and 452,345.63

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Solution

The third proportional to 226,184.63 and 452,345.63 is: 904,644.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,184.63 : 452,345.63 = 452,345.63 : x
  2. Step 2: Convert to fraction form
    226,184.63/452,345.63 = 452,345.63/x
  3. Step 3: Cross multiply
    226,184.63x = 452,345.63 × 452,345.63
  4. Step 4: Simplify right side
    226,184.63x = 204,616,564,456.64
  5. Step 5: Solve for x
    x = 204,616,564,456.64/226,184.63
  6. Step 6: Final answer
    x = 904,644.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.