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Finding the Third Proportional to 124,230 and 268,236

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Solution

The third proportional to 124,230 and 268,236 is: 579,172.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,230 : 268,236 = 268,236 : x
  2. Step 2: Convert to fraction form
    124,230/268,236 = 268,236/x
  3. Step 3: Cross multiply
    124,230x = 268,236 × 268,236
  4. Step 4: Simplify right side
    124,230x = 71,950,551,696
  5. Step 5: Solve for x
    x = 71,950,551,696/124,230
  6. Step 6: Final answer
    x = 579,172.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.