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Finding the Third Proportional to 114,654 and 243,236

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Solution

The third proportional to 114,654 and 243,236 is: 516,019.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,654 : 243,236 = 243,236 : x
  2. Step 2: Convert to fraction form
    114,654/243,236 = 243,236/x
  3. Step 3: Cross multiply
    114,654x = 243,236 × 243,236
  4. Step 4: Simplify right side
    114,654x = 59,163,751,696
  5. Step 5: Solve for x
    x = 59,163,751,696/114,654
  6. Step 6: Final answer
    x = 516,019.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.