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Finding the Third Proportional to 142,216 and 329,236

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Solution

The third proportional to 142,216 and 329,236 is: 762,195.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,216 : 329,236 = 329,236 : x
  2. Step 2: Convert to fraction form
    142,216/329,236 = 329,236/x
  3. Step 3: Cross multiply
    142,216x = 329,236 × 329,236
  4. Step 4: Simplify right side
    142,216x = 108,396,343,696
  5. Step 5: Solve for x
    x = 108,396,343,696/142,216
  6. Step 6: Final answer
    x = 762,195.14

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.