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Finding the Third Proportional to 141,630 and 308,236

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Solution

The third proportional to 141,630 and 308,236 is: 670,828.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,630 : 308,236 = 308,236 : x
  2. Step 2: Convert to fraction form
    141,630/308,236 = 308,236/x
  3. Step 3: Cross multiply
    141,630x = 308,236 × 308,236
  4. Step 4: Simplify right side
    141,630x = 95,009,431,696
  5. Step 5: Solve for x
    x = 95,009,431,696/141,630
  6. Step 6: Final answer
    x = 670,828.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.