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Finding the Third Proportional to 185,838 and 295,372

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Solution

The third proportional to 185,838 and 295,372 is: 469,465.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,838 : 295,372 = 295,372 : x
  2. Step 2: Convert to fraction form
    185,838/295,372 = 295,372/x
  3. Step 3: Cross multiply
    185,838x = 295,372 × 295,372
  4. Step 4: Simplify right side
    185,838x = 87,244,618,384
  5. Step 5: Solve for x
    x = 87,244,618,384/185,838
  6. Step 6: Final answer
    x = 469,465.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.