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Finding the Third Proportional to 170,614 and 367,146

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Solution

The third proportional to 170,614 and 367,146 is: 790,065.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,614 : 367,146 = 367,146 : x
  2. Step 2: Convert to fraction form
    170,614/367,146 = 367,146/x
  3. Step 3: Cross multiply
    170,614x = 367,146 × 367,146
  4. Step 4: Simplify right side
    170,614x = 134,796,185,316
  5. Step 5: Solve for x
    x = 134,796,185,316/170,614
  6. Step 6: Final answer
    x = 790,065.21

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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.