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Finding the Third Proportional to 235,451 and 352,236

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Solution

The third proportional to 235,451 and 352,236 is: 526,947.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,451 : 352,236 = 352,236 : x
  2. Step 2: Convert to fraction form
    235,451/352,236 = 352,236/x
  3. Step 3: Cross multiply
    235,451x = 352,236 × 352,236
  4. Step 4: Simplify right side
    235,451x = 124,070,199,696
  5. Step 5: Solve for x
    x = 124,070,199,696/235,451
  6. Step 6: Final answer
    x = 526,947.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.