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Finding the Third Proportional to 170,282 and 370,036

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Solution

The third proportional to 170,282 and 370,036 is: 804,116.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,282 : 370,036 = 370,036 : x
  2. Step 2: Convert to fraction form
    170,282/370,036 = 370,036/x
  3. Step 3: Cross multiply
    170,282x = 370,036 × 370,036
  4. Step 4: Simplify right side
    170,282x = 136,926,641,296
  5. Step 5: Solve for x
    x = 136,926,641,296/170,282
  6. Step 6: Final answer
    x = 804,116.94

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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.