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Finding the Third Proportional to 235,152 and 354,848

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Solution

The third proportional to 235,152 and 354,848 is: 535,471.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,152 : 354,848 = 354,848 : x
  2. Step 2: Convert to fraction form
    235,152/354,848 = 354,848/x
  3. Step 3: Cross multiply
    235,152x = 354,848 × 354,848
  4. Step 4: Simplify right side
    235,152x = 125,917,103,104
  5. Step 5: Solve for x
    x = 125,917,103,104/235,152
  6. Step 6: Final answer
    x = 535,471.11

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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.