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Finding the Third Proportional to 235,184 and 354,963

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Solution

The third proportional to 235,184 and 354,963 is: 535,745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,184 : 354,963 = 354,963 : x
  2. Step 2: Convert to fraction form
    235,184/354,963 = 354,963/x
  3. Step 3: Cross multiply
    235,184x = 354,963 × 354,963
  4. Step 4: Simplify right side
    235,184x = 125,998,731,369
  5. Step 5: Solve for x
    x = 125,998,731,369/235,184
  6. Step 6: Final answer
    x = 535,745.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.