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Finding the Third Proportional to 169,284.94 and 262,402.03

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Solution

The third proportional to 169,284.94 and 262,402.03 is: 406,739.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,284.94 : 262,402.03 = 262,402.03 : x
  2. Step 2: Convert to fraction form
    169,284.94/262,402.03 = 262,402.03/x
  3. Step 3: Cross multiply
    169,284.94x = 262,402.03 × 262,402.03
  4. Step 4: Simplify right side
    169,284.94x = 68,854,826,004.13
  5. Step 5: Solve for x
    x = 68,854,826,004.13/169,284.94
  6. Step 6: Final answer
    x = 406,739.24

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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.