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Finding the Third Proportional to 189,920 and 295,240

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Solution

The third proportional to 189,920 and 295,240 is: 458,965.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,920 : 295,240 = 295,240 : x
  2. Step 2: Convert to fraction form
    189,920/295,240 = 295,240/x
  3. Step 3: Cross multiply
    189,920x = 295,240 × 295,240
  4. Step 4: Simplify right side
    189,920x = 87,166,657,600
  5. Step 5: Solve for x
    x = 87,166,657,600/189,920
  6. Step 6: Final answer
    x = 458,965.13

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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.