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Finding the Third Proportional to 190,344 and 295,128

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Solution

The third proportional to 190,344 and 295,128 is: 457,595.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,344 : 295,128 = 295,128 : x
  2. Step 2: Convert to fraction form
    190,344/295,128 = 295,128/x
  3. Step 3: Cross multiply
    190,344x = 295,128 × 295,128
  4. Step 4: Simplify right side
    190,344x = 87,100,536,384
  5. Step 5: Solve for x
    x = 87,100,536,384/190,344
  6. Step 6: Final answer
    x = 457,595.39

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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.