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Finding the Third Proportional to 167,288 and 342,730

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Solution

The third proportional to 167,288 and 342,730 is: 702,165.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,288 : 342,730 = 342,730 : x
  2. Step 2: Convert to fraction form
    167,288/342,730 = 342,730/x
  3. Step 3: Cross multiply
    167,288x = 342,730 × 342,730
  4. Step 4: Simplify right side
    167,288x = 117,463,852,900
  5. Step 5: Solve for x
    x = 117,463,852,900/167,288
  6. Step 6: Final answer
    x = 702,165.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.