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Finding the Third Proportional to 235,154 and 354,851

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Solution

The third proportional to 235,154 and 354,851 is: 535,475.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,154 : 354,851 = 354,851 : x
  2. Step 2: Convert to fraction form
    235,154/354,851 = 354,851/x
  3. Step 3: Cross multiply
    235,154x = 354,851 × 354,851
  4. Step 4: Simplify right side
    235,154x = 125,919,232,201
  5. Step 5: Solve for x
    x = 125,919,232,201/235,154
  6. Step 6: Final answer
    x = 535,475.61

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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.