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Finding the Third Proportional to 169,074.84 and 236,385.84

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Solution

The third proportional to 169,074.84 and 236,385.84 is: 330,494.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,074.84 : 236,385.84 = 236,385.84 : x
  2. Step 2: Convert to fraction form
    169,074.84/236,385.84 = 236,385.84/x
  3. Step 3: Cross multiply
    169,074.84x = 236,385.84 × 236,385.84
  4. Step 4: Simplify right side
    169,074.84x = 55,878,267,125.40
  5. Step 5: Solve for x
    x = 55,878,267,125.40/169,074.84
  6. Step 6: Final answer
    x = 330,494.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.