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Finding the Third Proportional to 170,287 and 370,046

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Solution

The third proportional to 170,287 and 370,046 is: 804,136.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,287 : 370,046 = 370,046 : x
  2. Step 2: Convert to fraction form
    170,287/370,046 = 370,046/x
  3. Step 3: Cross multiply
    170,287x = 370,046 × 370,046
  4. Step 4: Simplify right side
    170,287x = 136,934,042,116
  5. Step 5: Solve for x
    x = 136,934,042,116/170,287
  6. Step 6: Final answer
    x = 804,136.79

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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.