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Finding the Third Proportional to 204,106 and 443,240

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Solution

The third proportional to 204,106 and 443,240 is: 962,547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,106 : 443,240 = 443,240 : x
  2. Step 2: Convert to fraction form
    204,106/443,240 = 443,240/x
  3. Step 3: Cross multiply
    204,106x = 443,240 × 443,240
  4. Step 4: Simplify right side
    204,106x = 196,461,697,600
  5. Step 5: Solve for x
    x = 196,461,697,600/204,106
  6. Step 6: Final answer
    x = 962,547.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.