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Finding the Third Proportional to 168,114 and 260,298

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Solution

The third proportional to 168,114 and 260,298 is: 403,030.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,114 : 260,298 = 260,298 : x
  2. Step 2: Convert to fraction form
    168,114/260,298 = 260,298/x
  3. Step 3: Cross multiply
    168,114x = 260,298 × 260,298
  4. Step 4: Simplify right side
    168,114x = 67,755,048,804
  5. Step 5: Solve for x
    x = 67,755,048,804/168,114
  6. Step 6: Final answer
    x = 403,030.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.