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Finding the Third Proportional to 167,266 and 358,788

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Solution

The third proportional to 167,266 and 358,788 is: 769,605.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,266 : 358,788 = 358,788 : x
  2. Step 2: Convert to fraction form
    167,266/358,788 = 358,788/x
  3. Step 3: Cross multiply
    167,266x = 358,788 × 358,788
  4. Step 4: Simplify right side
    167,266x = 128,728,828,944
  5. Step 5: Solve for x
    x = 128,728,828,944/167,266
  6. Step 6: Final answer
    x = 769,605.47

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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.