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Finding the Third Proportional to 170,212 and 366,056

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Solution

The third proportional to 170,212 and 366,056 is: 787,235.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,212 : 366,056 = 366,056 : x
  2. Step 2: Convert to fraction form
    170,212/366,056 = 366,056/x
  3. Step 3: Cross multiply
    170,212x = 366,056 × 366,056
  4. Step 4: Simplify right side
    170,212x = 133,996,995,136
  5. Step 5: Solve for x
    x = 133,996,995,136/170,212
  6. Step 6: Final answer
    x = 787,235.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.