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Finding the Third Proportional to 168,699 and 254,791

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Solution

The third proportional to 168,699 and 254,791 is: 384,818.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,699 : 254,791 = 254,791 : x
  2. Step 2: Convert to fraction form
    168,699/254,791 = 254,791/x
  3. Step 3: Cross multiply
    168,699x = 254,791 × 254,791
  4. Step 4: Simplify right side
    168,699x = 64,918,453,681
  5. Step 5: Solve for x
    x = 64,918,453,681/168,699
  6. Step 6: Final answer
    x = 384,818.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.