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Finding the Third Proportional to 204,875.58 and 417,880.27

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Solution

The third proportional to 204,875.58 and 417,880.27 is: 852,341.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,875.58 : 417,880.27 = 417,880.27 : x
  2. Step 2: Convert to fraction form
    204,875.58/417,880.27 = 417,880.27/x
  3. Step 3: Cross multiply
    204,875.58x = 417,880.27 × 417,880.27
  4. Step 4: Simplify right side
    204,875.58x = 174,623,916,398.82
  5. Step 5: Solve for x
    x = 174,623,916,398.82/204,875.58
  6. Step 6: Final answer
    x = 852,341.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.