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Finding the Third Proportional to 107,829 and 235,236

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Solution

The third proportional to 107,829 and 235,236 is: 513,182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,829 : 235,236 = 235,236 : x
  2. Step 2: Convert to fraction form
    107,829/235,236 = 235,236/x
  3. Step 3: Cross multiply
    107,829x = 235,236 × 235,236
  4. Step 4: Simplify right side
    107,829x = 55,335,975,696
  5. Step 5: Solve for x
    x = 55,335,975,696/107,829
  6. Step 6: Final answer
    x = 513,182.68

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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.