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Finding the Third Proportional to 172,080 and 378,567

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Solution

The third proportional to 172,080 and 378,567 is: 832,827.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,080 : 378,567 = 378,567 : x
  2. Step 2: Convert to fraction form
    172,080/378,567 = 378,567/x
  3. Step 3: Cross multiply
    172,080x = 378,567 × 378,567
  4. Step 4: Simplify right side
    172,080x = 143,312,973,489
  5. Step 5: Solve for x
    x = 143,312,973,489/172,080
  6. Step 6: Final answer
    x = 832,827.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.