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Finding the Third Proportional to 185,588 and 288,104

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Solution

The third proportional to 185,588 and 288,104 is: 447,248.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,588 : 288,104 = 288,104 : x
  2. Step 2: Convert to fraction form
    185,588/288,104 = 288,104/x
  3. Step 3: Cross multiply
    185,588x = 288,104 × 288,104
  4. Step 4: Simplify right side
    185,588x = 83,003,914,816
  5. Step 5: Solve for x
    x = 83,003,914,816/185,588
  6. Step 6: Final answer
    x = 447,248.29

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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.