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Finding the Third Proportional to 168,051 and 351,681

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Solution

The third proportional to 168,051 and 351,681 is: 735,964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,051 : 351,681 = 351,681 : x
  2. Step 2: Convert to fraction form
    168,051/351,681 = 351,681/x
  3. Step 3: Cross multiply
    168,051x = 351,681 × 351,681
  4. Step 4: Simplify right side
    168,051x = 123,679,525,761
  5. Step 5: Solve for x
    x = 123,679,525,761/168,051
  6. Step 6: Final answer
    x = 735,964.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.